What is the Least Common Multiple of 44325 and 44330?

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 44325 and 44330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44325 and 44330, than apply into the LCM equation.

GCF(44325,44330) = 5
LCM(44325,44330) = ( 44325 × 44330) / 5
LCM(44325,44330) = 1964927250 / 5
LCM(44325,44330) = 392985450

Least Common Multiple (LCM) of 44325 and 44330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44325 and 44330. First we will calculate the prime factors of 44325 and 44330.

Prime Factorization of 44325

Prime Factorization of 44330

Now multiplying the highest exponent prime factors to calculate the LCM of 44325 and 44330.

LCM(44325,44330) = 3² × 5² × 197¹ × 2¹ × 11¹ × 13¹ × 31¹
LCM(44325,44330) = 392985450