What is the Least Common Multiple of 95688 and 95692?

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 95688 and 95692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95688 and 95692, than apply into the LCM equation.

GCF(95688,95692) = 4
LCM(95688,95692) = ( 95688 × 95692) / 4
LCM(95688,95692) = 9156576096 / 4
LCM(95688,95692) = 2289144024

Least Common Multiple (LCM) of 95688 and 95692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95688 and 95692. First we will calculate the prime factors of 95688 and 95692.

Prime Factorization of 95688

Prime Factorization of 95692

Now multiplying the highest exponent prime factors to calculate the LCM of 95688 and 95692.

LCM(95688,95692) = 2³ × 3³ × 443¹ × 47¹ × 509¹
LCM(95688,95692) = 2289144024