What is the Least Common Multiple of 44472 and 44489?

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 44472 and 44489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44472 and 44489, than apply into the LCM equation.

GCF(44472,44489) = 17
LCM(44472,44489) = ( 44472 × 44489) / 17
LCM(44472,44489) = 1978514808 / 17
LCM(44472,44489) = 116383224

Least Common Multiple (LCM) of 44472 and 44489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44472 and 44489. First we will calculate the prime factors of 44472 and 44489.

Prime Factorization of 44472

Prime Factorization of 44489

Now multiplying the highest exponent prime factors to calculate the LCM of 44472 and 44489.

LCM(44472,44489) = 2³ × 3¹ × 17¹ × 109¹ × 2617¹
LCM(44472,44489) = 116383224