What is the Least Common Multiple of 80869 and 80875?
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 80869 and 80875 is 6540280375.
LCM(80869,80875) = 6540280375
Least Common Multiple of 80869 and 80875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80869 and 80875, than apply into the LCM equation.
GCF(80869,80875) = 1
LCM(80869,80875) = ( 80869 × 80875) / 1
LCM(80869,80875) = 6540280375 / 1
LCM(80869,80875) = 6540280375
Least Common Multiple (LCM) of 80869 and 80875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80869 and 80875. First we will calculate the prime factors of 80869 and 80875.
Prime Factorization of 80869
Prime factors of 80869 are 17, 67, 71. Prime factorization of 80869 in exponential form is:
80869 = 171 × 671 × 711
Prime Factorization of 80875
Prime factors of 80875 are 5, 647. Prime factorization of 80875 in exponential form is:
80875 = 53 × 6471
Now multiplying the highest exponent prime factors to calculate the LCM of 80869 and 80875.
LCM(80869,80875) = 171 × 671 × 711 × 53 × 6471
LCM(80869,80875) = 6540280375
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