What is the Least Common Multiple of 44052 and 44069?

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 44069 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 44069, than apply into the LCM equation.

GCF(44052,44069) = 1
LCM(44052,44069) = ( 44052 × 44069) / 1
LCM(44052,44069) = 1941327588 / 1
LCM(44052,44069) = 1941327588

Least Common Multiple (LCM) of 44052 and 44069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44052 and 44069. First we will calculate the prime factors of 44052 and 44069.

Prime Factorization of 44052

Prime Factorization of 44069

Now multiplying the highest exponent prime factors to calculate the LCM of 44052 and 44069.

LCM(44052,44069) = 2² × 3¹ × 3671¹ × 127¹ × 347¹
LCM(44052,44069) = 1941327588