What is the Least Common Multiple of 44504 and 44512?

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 44504 and 44512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44504 and 44512, than apply into the LCM equation.

GCF(44504,44512) = 8
LCM(44504,44512) = ( 44504 × 44512) / 8
LCM(44504,44512) = 1980962048 / 8
LCM(44504,44512) = 247620256

Least Common Multiple (LCM) of 44504 and 44512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44504 and 44512. First we will calculate the prime factors of 44504 and 44512.

Prime Factorization of 44504

Prime Factorization of 44512

Now multiplying the highest exponent prime factors to calculate the LCM of 44504 and 44512.

LCM(44504,44512) = 2⁵ × 5563¹ × 13¹ × 107¹
LCM(44504,44512) = 247620256