What is the Least Common Multiple of 44412 and 44427?

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 44412 and 44427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44412 and 44427, than apply into the LCM equation.

GCF(44412,44427) = 3
LCM(44412,44427) = ( 44412 × 44427) / 3
LCM(44412,44427) = 1973091924 / 3
LCM(44412,44427) = 657697308

Least Common Multiple (LCM) of 44412 and 44427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44412 and 44427. First we will calculate the prime factors of 44412 and 44427.

Prime Factorization of 44412

Prime Factorization of 44427

Now multiplying the highest exponent prime factors to calculate the LCM of 44412 and 44427.

LCM(44412,44427) = 2² × 3¹ × 3701¹ × 59¹ × 251¹
LCM(44412,44427) = 657697308