What is the Least Common Multiple of 44716 and 44736?

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 44716 and 44736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44716 and 44736, than apply into the LCM equation.

GCF(44716,44736) = 4
LCM(44716,44736) = ( 44716 × 44736) / 4
LCM(44716,44736) = 2000414976 / 4
LCM(44716,44736) = 500103744

Least Common Multiple (LCM) of 44716 and 44736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44716 and 44736. First we will calculate the prime factors of 44716 and 44736.

Prime Factorization of 44716

Prime Factorization of 44736

Now multiplying the highest exponent prime factors to calculate the LCM of 44716 and 44736.

LCM(44716,44736) = 2⁶ × 7¹ × 1597¹ × 3¹ × 233¹
LCM(44716,44736) = 500103744