What is the Least Common Multiple of 44608 and 44628?

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 44608 and 44628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44608 and 44628, than apply into the LCM equation.

GCF(44608,44628) = 4
LCM(44608,44628) = ( 44608 × 44628) / 4
LCM(44608,44628) = 1990765824 / 4
LCM(44608,44628) = 497691456

Least Common Multiple (LCM) of 44608 and 44628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44608 and 44628. First we will calculate the prime factors of 44608 and 44628.

Prime Factorization of 44608

Prime Factorization of 44628

Now multiplying the highest exponent prime factors to calculate the LCM of 44608 and 44628.

LCM(44608,44628) = 2⁶ × 17¹ × 41¹ × 3¹ × 3719¹
LCM(44608,44628) = 497691456