What is the Least Common Multiple of 31665 and 31676?

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 31665 and 31676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31665 and 31676, than apply into the LCM equation.

GCF(31665,31676) = 1
LCM(31665,31676) = ( 31665 × 31676) / 1
LCM(31665,31676) = 1003020540 / 1
LCM(31665,31676) = 1003020540

Least Common Multiple (LCM) of 31665 and 31676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31665 and 31676. First we will calculate the prime factors of 31665 and 31676.

Prime Factorization of 31665

Prime Factorization of 31676

Now multiplying the highest exponent prime factors to calculate the LCM of 31665 and 31676.

LCM(31665,31676) = 3¹ × 5¹ × 2111¹ × 2² × 7919¹
LCM(31665,31676) = 1003020540