What is the Least Common Multiple of 32996 and 33007?

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 32996 and 33007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32996 and 33007, than apply into the LCM equation.

GCF(32996,33007) = 1
LCM(32996,33007) = ( 32996 × 33007) / 1
LCM(32996,33007) = 1089098972 / 1
LCM(32996,33007) = 1089098972

Least Common Multiple (LCM) of 32996 and 33007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32996 and 33007. First we will calculate the prime factors of 32996 and 33007.

Prime Factorization of 32996

Prime Factorization of 33007

Now multiplying the highest exponent prime factors to calculate the LCM of 32996 and 33007.

LCM(32996,33007) = 2² × 73¹ × 113¹ × 13¹ × 2539¹
LCM(32996,33007) = 1089098972