What is the Least Common Multiple of 44640 and 44649?

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 44640 and 44649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44640 and 44649, than apply into the LCM equation.

GCF(44640,44649) = 9
LCM(44640,44649) = ( 44640 × 44649) / 9
LCM(44640,44649) = 1993131360 / 9
LCM(44640,44649) = 221459040

Least Common Multiple (LCM) of 44640 and 44649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44640 and 44649. First we will calculate the prime factors of 44640 and 44649.

Prime Factorization of 44640

Prime Factorization of 44649

Now multiplying the highest exponent prime factors to calculate the LCM of 44640 and 44649.

LCM(44640,44649) = 2⁵ × 3² × 5¹ × 31¹ × 11² × 41¹
LCM(44640,44649) = 221459040