What is the Least Common Multiple of 95589 and 95607?

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 of 95589 and 95607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95589 and 95607, than apply into the LCM equation.

GCF(95589,95607) = 9
LCM(95589,95607) = ( 95589 × 95607) / 9
LCM(95589,95607) = 9138977523 / 9
LCM(95589,95607) = 1015441947

Least Common Multiple (LCM) of 95589 and 95607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95589 and 95607. First we will calculate the prime factors of 95589 and 95607.

Prime Factorization of 95589

Prime Factorization of 95607

Now multiplying the highest exponent prime factors to calculate the LCM of 95589 and 95607.

LCM(95589,95607) = 3³ × 13¹ × 19¹ × 43¹ × 3541¹
LCM(95589,95607) = 1015441947