What is the Least Common Multiple of 44704 and 44715?

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 44704 and 44715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44704 and 44715, than apply into the LCM equation.

GCF(44704,44715) = 11
LCM(44704,44715) = ( 44704 × 44715) / 11
LCM(44704,44715) = 1998939360 / 11
LCM(44704,44715) = 181721760

Least Common Multiple (LCM) of 44704 and 44715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44704 and 44715. First we will calculate the prime factors of 44704 and 44715.

Prime Factorization of 44704

Prime Factorization of 44715

Now multiplying the highest exponent prime factors to calculate the LCM of 44704 and 44715.

LCM(44704,44715) = 2⁵ × 11¹ × 127¹ × 3¹ × 5¹ × 271¹
LCM(44704,44715) = 181721760