What is the Least Common Multiple of 52686 and 52692?

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 52686 and 52692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52686 and 52692, than apply into the LCM equation.

GCF(52686,52692) = 6
LCM(52686,52692) = ( 52686 × 52692) / 6
LCM(52686,52692) = 2776130712 / 6
LCM(52686,52692) = 462688452

Least Common Multiple (LCM) of 52686 and 52692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52686 and 52692. First we will calculate the prime factors of 52686 and 52692.

Prime Factorization of 52686

Prime Factorization of 52692

Now multiplying the highest exponent prime factors to calculate the LCM of 52686 and 52692.

LCM(52686,52692) = 2² × 3² × 2927¹ × 4391¹
LCM(52686,52692) = 462688452