What is the Least Common Multiple of 86609 and 86627?
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 86609 and 86627 is 7502677843.
LCM(86609,86627) = 7502677843
Least Common Multiple of 86609 and 86627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86609 and 86627, than apply into the LCM equation.
GCF(86609,86627) = 1
LCM(86609,86627) = ( 86609 × 86627) / 1
LCM(86609,86627) = 7502677843 / 1
LCM(86609,86627) = 7502677843
Least Common Multiple (LCM) of 86609 and 86627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 86609 and 86627. First we will calculate the prime factors of 86609 and 86627.
Prime Factorization of 86609
Prime factors of 86609 are 257, 337. Prime factorization of 86609 in exponential form is:
86609 = 2571 × 3371
Prime Factorization of 86627
Prime factors of 86627 are 86627. Prime factorization of 86627 in exponential form is:
86627 = 866271
Now multiplying the highest exponent prime factors to calculate the LCM of 86609 and 86627.
LCM(86609,86627) = 2571 × 3371 × 866271
LCM(86609,86627) = 7502677843
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