What is the Least Common Multiple of 31960 and 31971?

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 31960 and 31971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31960 and 31971, than apply into the LCM equation.

GCF(31960,31971) = 1
LCM(31960,31971) = ( 31960 × 31971) / 1
LCM(31960,31971) = 1021793160 / 1
LCM(31960,31971) = 1021793160

Least Common Multiple (LCM) of 31960 and 31971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31960 and 31971. First we will calculate the prime factors of 31960 and 31971.

Prime Factorization of 31960

Prime Factorization of 31971

Now multiplying the highest exponent prime factors to calculate the LCM of 31960 and 31971.

LCM(31960,31971) = 2³ × 5¹ × 17¹ × 47¹ × 3¹ × 10657¹
LCM(31960,31971) = 1021793160