What is the Least Common Multiple of 44114 and 44128?

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 44114 and 44128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44114 and 44128, than apply into the LCM equation.

GCF(44114,44128) = 14
LCM(44114,44128) = ( 44114 × 44128) / 14
LCM(44114,44128) = 1946662592 / 14
LCM(44114,44128) = 139047328

Least Common Multiple (LCM) of 44114 and 44128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44114 and 44128. First we will calculate the prime factors of 44114 and 44128.

Prime Factorization of 44114

Prime Factorization of 44128

Now multiplying the highest exponent prime factors to calculate the LCM of 44114 and 44128.

LCM(44114,44128) = 2⁵ × 7¹ × 23¹ × 137¹ × 197¹
LCM(44114,44128) = 139047328