What is the Least Common Multiple of 95724 and 95733?

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 95724 and 95733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95724 and 95733, than apply into the LCM equation.

GCF(95724,95733) = 9
LCM(95724,95733) = ( 95724 × 95733) / 9
LCM(95724,95733) = 9163945692 / 9
LCM(95724,95733) = 1018216188

Least Common Multiple (LCM) of 95724 and 95733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95724 and 95733. First we will calculate the prime factors of 95724 and 95733.

Prime Factorization of 95724

Prime Factorization of 95733

Now multiplying the highest exponent prime factors to calculate the LCM of 95724 and 95733.

LCM(95724,95733) = 2² × 3² × 2659¹ × 11¹ × 967¹
LCM(95724,95733) = 1018216188