What is the Least Common Multiple of 44946 and 44955?

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 44946 and 44955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44946 and 44955, than apply into the LCM equation.

GCF(44946,44955) = 9
LCM(44946,44955) = ( 44946 × 44955) / 9
LCM(44946,44955) = 2020547430 / 9
LCM(44946,44955) = 224505270

Least Common Multiple (LCM) of 44946 and 44955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44946 and 44955. First we will calculate the prime factors of 44946 and 44955.

Prime Factorization of 44946

Prime Factorization of 44955

Now multiplying the highest exponent prime factors to calculate the LCM of 44946 and 44955.

LCM(44946,44955) = 2¹ × 3⁵ × 11¹ × 227¹ × 5¹ × 37¹
LCM(44946,44955) = 224505270