What is the Least Common Multiple of 95733 and 95748?

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 95733 and 95748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95733 and 95748, than apply into the LCM equation.

GCF(95733,95748) = 3
LCM(95733,95748) = ( 95733 × 95748) / 3
LCM(95733,95748) = 9166243284 / 3
LCM(95733,95748) = 3055414428

Least Common Multiple (LCM) of 95733 and 95748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95733 and 95748. First we will calculate the prime factors of 95733 and 95748.

Prime Factorization of 95733

Prime Factorization of 95748

Now multiplying the highest exponent prime factors to calculate the LCM of 95733 and 95748.

LCM(95733,95748) = 3² × 11¹ × 967¹ × 2² × 79¹ × 101¹
LCM(95733,95748) = 3055414428