What is the Least Common Multiple of 44955 and 44968?

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 44968 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 44968, than apply into the LCM equation.

GCF(44955,44968) = 1
LCM(44955,44968) = ( 44955 × 44968) / 1
LCM(44955,44968) = 2021536440 / 1
LCM(44955,44968) = 2021536440

Least Common Multiple (LCM) of 44955 and 44968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44955 and 44968. First we will calculate the prime factors of 44955 and 44968.

Prime Factorization of 44955

Prime Factorization of 44968

Now multiplying the highest exponent prime factors to calculate the LCM of 44955 and 44968.

LCM(44955,44968) = 3⁵ × 5¹ × 37¹ × 2³ × 7¹ × 11¹ × 73¹
LCM(44955,44968) = 2021536440