What is the Least Common Multiple of 44260 and 44279?

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 44260 and 44279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44260 and 44279, than apply into the LCM equation.

GCF(44260,44279) = 1
LCM(44260,44279) = ( 44260 × 44279) / 1
LCM(44260,44279) = 1959788540 / 1
LCM(44260,44279) = 1959788540

Least Common Multiple (LCM) of 44260 and 44279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44260 and 44279. First we will calculate the prime factors of 44260 and 44279.

Prime Factorization of 44260

Prime Factorization of 44279

Now multiplying the highest exponent prime factors to calculate the LCM of 44260 and 44279.

LCM(44260,44279) = 2² × 5¹ × 2213¹ × 44279¹
LCM(44260,44279) = 1959788540