What is the Least Common Multiple of 31596 and 31616?

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 31596 and 31616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31596 and 31616, than apply into the LCM equation.

GCF(31596,31616) = 4
LCM(31596,31616) = ( 31596 × 31616) / 4
LCM(31596,31616) = 998939136 / 4
LCM(31596,31616) = 249734784

Least Common Multiple (LCM) of 31596 and 31616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31596 and 31616. First we will calculate the prime factors of 31596 and 31616.

Prime Factorization of 31596

Prime Factorization of 31616

Now multiplying the highest exponent prime factors to calculate the LCM of 31596 and 31616.

LCM(31596,31616) = 2⁷ × 3¹ × 2633¹ × 13¹ × 19¹
LCM(31596,31616) = 249734784