What is the Least Common Multiple of 44649 and 44656?

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 44649 and 44656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44649 and 44656, than apply into the LCM equation.

GCF(44649,44656) = 1
LCM(44649,44656) = ( 44649 × 44656) / 1
LCM(44649,44656) = 1993845744 / 1
LCM(44649,44656) = 1993845744

Least Common Multiple (LCM) of 44649 and 44656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44649 and 44656. First we will calculate the prime factors of 44649 and 44656.

Prime Factorization of 44649

Prime Factorization of 44656

Now multiplying the highest exponent prime factors to calculate the LCM of 44649 and 44656.

LCM(44649,44656) = 3² × 11² × 41¹ × 2⁴ × 2791¹
LCM(44649,44656) = 1993845744