What is the Least Common Multiple of 44738 and 44748?

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 44738 and 44748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44738 and 44748, than apply into the LCM equation.

GCF(44738,44748) = 2
LCM(44738,44748) = ( 44738 × 44748) / 2
LCM(44738,44748) = 2001936024 / 2
LCM(44738,44748) = 1000968012

Least Common Multiple (LCM) of 44738 and 44748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44738 and 44748. First we will calculate the prime factors of 44738 and 44748.

Prime Factorization of 44738

Prime Factorization of 44748

Now multiplying the highest exponent prime factors to calculate the LCM of 44738 and 44748.

LCM(44738,44748) = 2² × 22369¹ × 3² × 11¹ × 113¹
LCM(44738,44748) = 1000968012