What is the Least Common Multiple of 44052 and 44070?

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 44052 and 44070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44052 and 44070, than apply into the LCM equation.

GCF(44052,44070) = 6
LCM(44052,44070) = ( 44052 × 44070) / 6
LCM(44052,44070) = 1941371640 / 6
LCM(44052,44070) = 323561940

Least Common Multiple (LCM) of 44052 and 44070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44052 and 44070. First we will calculate the prime factors of 44052 and 44070.

Prime Factorization of 44052

Prime Factorization of 44070

Now multiplying the highest exponent prime factors to calculate the LCM of 44052 and 44070.

LCM(44052,44070) = 2² × 3¹ × 3671¹ × 5¹ × 13¹ × 113¹
LCM(44052,44070) = 323561940