What is the Least Common Multiple of 31929 and 31944?

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 31929 and 31944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31929 and 31944, than apply into the LCM equation.

GCF(31929,31944) = 3
LCM(31929,31944) = ( 31929 × 31944) / 3
LCM(31929,31944) = 1019939976 / 3
LCM(31929,31944) = 339979992

Least Common Multiple (LCM) of 31929 and 31944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31929 and 31944. First we will calculate the prime factors of 31929 and 31944.

Prime Factorization of 31929

Prime Factorization of 31944

Now multiplying the highest exponent prime factors to calculate the LCM of 31929 and 31944.

LCM(31929,31944) = 3¹ × 29¹ × 367¹ × 2³ × 11³
LCM(31929,31944) = 339979992