What is the Least Common Multiple of 44955 and 44974?

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 44955 and 44974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44955 and 44974, than apply into the LCM equation.

GCF(44955,44974) = 1
LCM(44955,44974) = ( 44955 × 44974) / 1
LCM(44955,44974) = 2021806170 / 1
LCM(44955,44974) = 2021806170

Least Common Multiple (LCM) of 44955 and 44974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44955 and 44974. First we will calculate the prime factors of 44955 and 44974.

Prime Factorization of 44955

Prime Factorization of 44974

Now multiplying the highest exponent prime factors to calculate the LCM of 44955 and 44974.

LCM(44955,44974) = 3⁵ × 5¹ × 37¹ × 2¹ × 113¹ × 199¹
LCM(44955,44974) = 2021806170