What is the Least Common Multiple of 44560 and 44576?

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 44560 and 44576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44560 and 44576, than apply into the LCM equation.

GCF(44560,44576) = 16
LCM(44560,44576) = ( 44560 × 44576) / 16
LCM(44560,44576) = 1986306560 / 16
LCM(44560,44576) = 124144160

Least Common Multiple (LCM) of 44560 and 44576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44560 and 44576. First we will calculate the prime factors of 44560 and 44576.

Prime Factorization of 44560

Prime Factorization of 44576

Now multiplying the highest exponent prime factors to calculate the LCM of 44560 and 44576.

LCM(44560,44576) = 2⁵ × 5¹ × 557¹ × 7¹ × 199¹
LCM(44560,44576) = 124144160