What is the Least Common Multiple of 7844 and 7864?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 7844 and 7864 is 15421304.
LCM(7844,7864) = 15421304
Least Common Multiple of 7844 and 7864 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7844 and 7864, than apply into the LCM equation.
GCF(7844,7864) = 4
LCM(7844,7864) = ( 7844 × 7864) / 4
LCM(7844,7864) = 61685216 / 4
LCM(7844,7864) = 15421304
Least Common Multiple (LCM) of 7844 and 7864 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7844 and 7864. First we will calculate the prime factors of 7844 and 7864.
Prime Factorization of 7844
Prime factors of 7844 are 2, 37, 53. Prime factorization of 7844 in exponential form is:
7844 = 22 × 371 × 531
Prime Factorization of 7864
Prime factors of 7864 are 2, 983. Prime factorization of 7864 in exponential form is:
7864 = 23 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 7844 and 7864.
LCM(7844,7864) = 23 × 371 × 531 × 9831
LCM(7844,7864) = 15421304
Related Least Common Multiples of 7844
- LCM of 7844 and 7848
- LCM of 7844 and 7849
- LCM of 7844 and 7850
- LCM of 7844 and 7851
- LCM of 7844 and 7852
- LCM of 7844 and 7853
- LCM of 7844 and 7854
- LCM of 7844 and 7855
- LCM of 7844 and 7856
- LCM of 7844 and 7857
- LCM of 7844 and 7858
- LCM of 7844 and 7859
- LCM of 7844 and 7860
- LCM of 7844 and 7861
- LCM of 7844 and 7862
- LCM of 7844 and 7863
- LCM of 7844 and 7864
Related Least Common Multiples of 7864
- LCM of 7864 and 7868
- LCM of 7864 and 7869
- LCM of 7864 and 7870
- LCM of 7864 and 7871
- LCM of 7864 and 7872
- LCM of 7864 and 7873
- LCM of 7864 and 7874
- LCM of 7864 and 7875
- LCM of 7864 and 7876
- LCM of 7864 and 7877
- LCM of 7864 and 7878
- LCM of 7864 and 7879
- LCM of 7864 and 7880
- LCM of 7864 and 7881
- LCM of 7864 and 7882
- LCM of 7864 and 7883
- LCM of 7864 and 7884