What is the Least Common Multiple of 31692 and 31701?

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 31692 and 31701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31692 and 31701, than apply into the LCM equation.

GCF(31692,31701) = 3
LCM(31692,31701) = ( 31692 × 31701) / 3
LCM(31692,31701) = 1004668092 / 3
LCM(31692,31701) = 334889364

Least Common Multiple (LCM) of 31692 and 31701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31692 and 31701. First we will calculate the prime factors of 31692 and 31701.

Prime Factorization of 31692

Prime Factorization of 31701

Now multiplying the highest exponent prime factors to calculate the LCM of 31692 and 31701.

LCM(31692,31701) = 2² × 3¹ × 19¹ × 139¹ × 10567¹
LCM(31692,31701) = 334889364