What is the Least Common Multiple of 44672 and 44689?

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 44672 and 44689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44672 and 44689, than apply into the LCM equation.

GCF(44672,44689) = 1
LCM(44672,44689) = ( 44672 × 44689) / 1
LCM(44672,44689) = 1996347008 / 1
LCM(44672,44689) = 1996347008

Least Common Multiple (LCM) of 44672 and 44689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44672 and 44689. First we will calculate the prime factors of 44672 and 44689.

Prime Factorization of 44672

Prime Factorization of 44689

Now multiplying the highest exponent prime factors to calculate the LCM of 44672 and 44689.

LCM(44672,44689) = 2⁷ × 349¹ × 23¹ × 29¹ × 67¹
LCM(44672,44689) = 1996347008