What is the Least Common Multiple of 44955 and 44971?

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 44971 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 44971, than apply into the LCM equation.

GCF(44955,44971) = 1
LCM(44955,44971) = ( 44955 × 44971) / 1
LCM(44955,44971) = 2021671305 / 1
LCM(44955,44971) = 2021671305

Least Common Multiple (LCM) of 44955 and 44971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44955 and 44971. First we will calculate the prime factors of 44955 and 44971.

Prime Factorization of 44955

Prime Factorization of 44971

Now multiplying the highest exponent prime factors to calculate the LCM of 44955 and 44971.

LCM(44955,44971) = 3⁵ × 5¹ × 37¹ × 44971¹
LCM(44955,44971) = 2021671305