What is the Least Common Multiple of 44450 and 44468?

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 44450 and 44468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44450 and 44468, than apply into the LCM equation.

GCF(44450,44468) = 2
LCM(44450,44468) = ( 44450 × 44468) / 2
LCM(44450,44468) = 1976602600 / 2
LCM(44450,44468) = 988301300

Least Common Multiple (LCM) of 44450 and 44468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44450 and 44468. First we will calculate the prime factors of 44450 and 44468.

Prime Factorization of 44450

Prime Factorization of 44468

Now multiplying the highest exponent prime factors to calculate the LCM of 44450 and 44468.

LCM(44450,44468) = 2² × 5² × 7¹ × 127¹ × 11117¹
LCM(44450,44468) = 988301300