What is the Least Common Multiple of 31656 and 31670?

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 31670 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 31670, than apply into the LCM equation.

GCF(31656,31670) = 2
LCM(31656,31670) = ( 31656 × 31670) / 2
LCM(31656,31670) = 1002545520 / 2
LCM(31656,31670) = 501272760

Least Common Multiple (LCM) of 31656 and 31670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31656 and 31670. First we will calculate the prime factors of 31656 and 31670.

Prime Factorization of 31656

Prime Factorization of 31670

Now multiplying the highest exponent prime factors to calculate the LCM of 31656 and 31670.

LCM(31656,31670) = 2³ × 3¹ × 1319¹ × 5¹ × 3167¹
LCM(31656,31670) = 501272760