What is the Least Common Multiple of 44072 and 44092?

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 44072 and 44092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44072 and 44092, than apply into the LCM equation.

GCF(44072,44092) = 4
LCM(44072,44092) = ( 44072 × 44092) / 4
LCM(44072,44092) = 1943222624 / 4
LCM(44072,44092) = 485805656

Least Common Multiple (LCM) of 44072 and 44092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44072 and 44092. First we will calculate the prime factors of 44072 and 44092.

Prime Factorization of 44072

Prime Factorization of 44092

Now multiplying the highest exponent prime factors to calculate the LCM of 44072 and 44092.

LCM(44072,44092) = 2³ × 7¹ × 787¹ × 73¹ × 151¹
LCM(44072,44092) = 485805656