What is the Least Common Multiple of 44512 and 44516?

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 44516 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 44516, than apply into the LCM equation.

GCF(44512,44516) = 4
LCM(44512,44516) = ( 44512 × 44516) / 4
LCM(44512,44516) = 1981496192 / 4
LCM(44512,44516) = 495374048

Least Common Multiple (LCM) of 44512 and 44516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44512 and 44516. First we will calculate the prime factors of 44512 and 44516.

Prime Factorization of 44512

Prime Factorization of 44516

Now multiplying the highest exponent prime factors to calculate the LCM of 44512 and 44516.

LCM(44512,44516) = 2⁵ × 13¹ × 107¹ × 31¹ × 359¹
LCM(44512,44516) = 495374048