What is the Least Common Multiple of 95676 and 95693?

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 95676 and 95693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95676 and 95693, than apply into the LCM equation.

GCF(95676,95693) = 17
LCM(95676,95693) = ( 95676 × 95693) / 17
LCM(95676,95693) = 9155523468 / 17
LCM(95676,95693) = 538560204

Least Common Multiple (LCM) of 95676 and 95693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95676 and 95693. First we will calculate the prime factors of 95676 and 95693.

Prime Factorization of 95676

Prime Factorization of 95693

Now multiplying the highest exponent prime factors to calculate the LCM of 95676 and 95693.

LCM(95676,95693) = 2² × 3¹ × 7¹ × 17¹ × 67¹ × 13¹ × 433¹
LCM(95676,95693) = 538560204