What is the Least Common Multiple of 44671 and 44688?

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 44671 and 44688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44671 and 44688, than apply into the LCM equation.

GCF(44671,44688) = 1
LCM(44671,44688) = ( 44671 × 44688) / 1
LCM(44671,44688) = 1996257648 / 1
LCM(44671,44688) = 1996257648

Least Common Multiple (LCM) of 44671 and 44688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44671 and 44688. First we will calculate the prime factors of 44671 and 44688.

Prime Factorization of 44671

Prime Factorization of 44688

Now multiplying the highest exponent prime factors to calculate the LCM of 44671 and 44688.

LCM(44671,44688) = 11¹ × 31¹ × 131¹ × 2⁴ × 3¹ × 7² × 19¹
LCM(44671,44688) = 1996257648