What is the Least Common Multiple of 31656 and 31665?

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 31656 and 31665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31656 and 31665, than apply into the LCM equation.

GCF(31656,31665) = 3
LCM(31656,31665) = ( 31656 × 31665) / 3
LCM(31656,31665) = 1002387240 / 3
LCM(31656,31665) = 334129080

Least Common Multiple (LCM) of 31656 and 31665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31656 and 31665. First we will calculate the prime factors of 31656 and 31665.

Prime Factorization of 31656

Prime Factorization of 31665

Now multiplying the highest exponent prime factors to calculate the LCM of 31656 and 31665.

LCM(31656,31665) = 2³ × 3¹ × 1319¹ × 5¹ × 2111¹
LCM(31656,31665) = 334129080