What is the Least Common Multiple of 52616 and 52636?

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 52616 and 52636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52616 and 52636, than apply into the LCM equation.

GCF(52616,52636) = 4
LCM(52616,52636) = ( 52616 × 52636) / 4
LCM(52616,52636) = 2769495776 / 4
LCM(52616,52636) = 692373944

Least Common Multiple (LCM) of 52616 and 52636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52616 and 52636. First we will calculate the prime factors of 52616 and 52636.

Prime Factorization of 52616

Prime Factorization of 52636

Now multiplying the highest exponent prime factors to calculate the LCM of 52616 and 52636.

LCM(52616,52636) = 2³ × 6577¹ × 13159¹
LCM(52616,52636) = 692373944