What is the Least Common Multiple of 95792 and 95800?

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 95792 and 95800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95792 and 95800, than apply into the LCM equation.

GCF(95792,95800) = 8
LCM(95792,95800) = ( 95792 × 95800) / 8
LCM(95792,95800) = 9176873600 / 8
LCM(95792,95800) = 1147109200

Least Common Multiple (LCM) of 95792 and 95800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95792 and 95800. First we will calculate the prime factors of 95792 and 95800.

Prime Factorization of 95792

Prime Factorization of 95800

Now multiplying the highest exponent prime factors to calculate the LCM of 95792 and 95800.

LCM(95792,95800) = 2⁴ × 5987¹ × 5² × 479¹
LCM(95792,95800) = 1147109200