What is the Least Common Multiple of 44244 and 44251?

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 44244 and 44251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44244 and 44251, than apply into the LCM equation.

GCF(44244,44251) = 1
LCM(44244,44251) = ( 44244 × 44251) / 1
LCM(44244,44251) = 1957841244 / 1
LCM(44244,44251) = 1957841244

Least Common Multiple (LCM) of 44244 and 44251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44244 and 44251. First we will calculate the prime factors of 44244 and 44251.

Prime Factorization of 44244

Prime Factorization of 44251

Now multiplying the highest exponent prime factors to calculate the LCM of 44244 and 44251.

LCM(44244,44251) = 2² × 3² × 1229¹ × 17¹ × 19¹ × 137¹
LCM(44244,44251) = 1957841244