What is the Least Common Multiple of 44076 and 44082?

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 44076 and 44082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44076 and 44082, than apply into the LCM equation.

GCF(44076,44082) = 6
LCM(44076,44082) = ( 44076 × 44082) / 6
LCM(44076,44082) = 1942958232 / 6
LCM(44076,44082) = 323826372

Least Common Multiple (LCM) of 44076 and 44082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44076 and 44082. First we will calculate the prime factors of 44076 and 44082.

Prime Factorization of 44076

Prime Factorization of 44082

Now multiplying the highest exponent prime factors to calculate the LCM of 44076 and 44082.

LCM(44076,44082) = 2² × 3² × 3673¹ × 31¹ × 79¹
LCM(44076,44082) = 323826372