What is the Least Common Multiple of 44696 and 44716?

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 44696 and 44716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44696 and 44716, than apply into the LCM equation.

GCF(44696,44716) = 4
LCM(44696,44716) = ( 44696 × 44716) / 4
LCM(44696,44716) = 1998626336 / 4
LCM(44696,44716) = 499656584

Least Common Multiple (LCM) of 44696 and 44716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44696 and 44716. First we will calculate the prime factors of 44696 and 44716.

Prime Factorization of 44696

Prime Factorization of 44716

Now multiplying the highest exponent prime factors to calculate the LCM of 44696 and 44716.

LCM(44696,44716) = 2³ × 37¹ × 151¹ × 7¹ × 1597¹
LCM(44696,44716) = 499656584