What is the Least Common Multiple of 44512 and 44530?

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 44512 and 44530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44512 and 44530, than apply into the LCM equation.

GCF(44512,44530) = 2
LCM(44512,44530) = ( 44512 × 44530) / 2
LCM(44512,44530) = 1982119360 / 2
LCM(44512,44530) = 991059680

Least Common Multiple (LCM) of 44512 and 44530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44512 and 44530. First we will calculate the prime factors of 44512 and 44530.

Prime Factorization of 44512

Prime Factorization of 44530

Now multiplying the highest exponent prime factors to calculate the LCM of 44512 and 44530.

LCM(44512,44530) = 2⁵ × 13¹ × 107¹ × 5¹ × 61¹ × 73¹
LCM(44512,44530) = 991059680