What is the Least Common Multiple of 44654 and 44672?

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 44654 and 44672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44654 and 44672, than apply into the LCM equation.

GCF(44654,44672) = 2
LCM(44654,44672) = ( 44654 × 44672) / 2
LCM(44654,44672) = 1994783488 / 2
LCM(44654,44672) = 997391744

Least Common Multiple (LCM) of 44654 and 44672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44654 and 44672. First we will calculate the prime factors of 44654 and 44672.

Prime Factorization of 44654

Prime Factorization of 44672

Now multiplying the highest exponent prime factors to calculate the LCM of 44654 and 44672.

LCM(44654,44672) = 2⁷ × 83¹ × 269¹ × 349¹
LCM(44654,44672) = 997391744