What is the Least Common Multiple of 44052 and 44068?

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 44068 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 44068, than apply into the LCM equation.

GCF(44052,44068) = 4
LCM(44052,44068) = ( 44052 × 44068) / 4
LCM(44052,44068) = 1941283536 / 4
LCM(44052,44068) = 485320884

Least Common Multiple (LCM) of 44052 and 44068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44052 and 44068. First we will calculate the prime factors of 44052 and 44068.

Prime Factorization of 44052

Prime Factorization of 44068

Now multiplying the highest exponent prime factors to calculate the LCM of 44052 and 44068.

LCM(44052,44068) = 2² × 3¹ × 3671¹ × 23¹ × 479¹
LCM(44052,44068) = 485320884