What is the Least Common Multiple of 7837 and 7844?
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 7837 and 7844 is 61473428.
LCM(7837,7844) = 61473428
Least Common Multiple of 7837 and 7844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7837 and 7844, than apply into the LCM equation.
GCF(7837,7844) = 1
LCM(7837,7844) = ( 7837 × 7844) / 1
LCM(7837,7844) = 61473428 / 1
LCM(7837,7844) = 61473428
Least Common Multiple (LCM) of 7837 and 7844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7837 and 7844. First we will calculate the prime factors of 7837 and 7844.
Prime Factorization of 7837
Prime factors of 7837 are 17, 461. Prime factorization of 7837 in exponential form is:
7837 = 171 × 4611
Prime Factorization of 7844
Prime factors of 7844 are 2, 37, 53. Prime factorization of 7844 in exponential form is:
7844 = 22 × 371 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 7837 and 7844.
LCM(7837,7844) = 171 × 4611 × 22 × 371 × 531
LCM(7837,7844) = 61473428
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