What is the Least Common Multiple of 44665 and 44682?

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 44665 and 44682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44665 and 44682, than apply into the LCM equation.

GCF(44665,44682) = 1
LCM(44665,44682) = ( 44665 × 44682) / 1
LCM(44665,44682) = 1995721530 / 1
LCM(44665,44682) = 1995721530

Least Common Multiple (LCM) of 44665 and 44682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44665 and 44682. First we will calculate the prime factors of 44665 and 44682.

Prime Factorization of 44665

Prime Factorization of 44682

Now multiplying the highest exponent prime factors to calculate the LCM of 44665 and 44682.

LCM(44665,44682) = 5¹ × 8933¹ × 2¹ × 3¹ × 11¹ × 677¹
LCM(44665,44682) = 1995721530