What is the Least Common Multiple of 44975 and 44989?

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 44975 and 44989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44975 and 44989, than apply into the LCM equation.

GCF(44975,44989) = 7
LCM(44975,44989) = ( 44975 × 44989) / 7
LCM(44975,44989) = 2023380275 / 7
LCM(44975,44989) = 289054325

Least Common Multiple (LCM) of 44975 and 44989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44975 and 44989. First we will calculate the prime factors of 44975 and 44989.

Prime Factorization of 44975

Prime Factorization of 44989

Now multiplying the highest exponent prime factors to calculate the LCM of 44975 and 44989.

LCM(44975,44989) = 5² × 7¹ × 257¹ × 6427¹
LCM(44975,44989) = 289054325