What is the Least Common Multiple of 31608 and 31626?

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 31608 and 31626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31608 and 31626, than apply into the LCM equation.

GCF(31608,31626) = 18
LCM(31608,31626) = ( 31608 × 31626) / 18
LCM(31608,31626) = 999634608 / 18
LCM(31608,31626) = 55535256

Least Common Multiple (LCM) of 31608 and 31626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31608 and 31626. First we will calculate the prime factors of 31608 and 31626.

Prime Factorization of 31608

Prime Factorization of 31626

Now multiplying the highest exponent prime factors to calculate the LCM of 31608 and 31626.

LCM(31608,31626) = 2³ × 3² × 439¹ × 7¹ × 251¹
LCM(31608,31626) = 55535256