What is the Least Common Multiple of 95636 and 95654?

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 95636 and 95654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95636 and 95654, than apply into the LCM equation.

GCF(95636,95654) = 2
LCM(95636,95654) = ( 95636 × 95654) / 2
LCM(95636,95654) = 9147965944 / 2
LCM(95636,95654) = 4573982972

Least Common Multiple (LCM) of 95636 and 95654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95636 and 95654. First we will calculate the prime factors of 95636 and 95654.

Prime Factorization of 95636

Prime Factorization of 95654

Now multiplying the highest exponent prime factors to calculate the LCM of 95636 and 95654.

LCM(95636,95654) = 2² × 23909¹ × 13² × 283¹
LCM(95636,95654) = 4573982972