What is the Least Common Multiple of 44496 and 44506?

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 44496 and 44506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44496 and 44506, than apply into the LCM equation.

GCF(44496,44506) = 2
LCM(44496,44506) = ( 44496 × 44506) / 2
LCM(44496,44506) = 1980338976 / 2
LCM(44496,44506) = 990169488

Least Common Multiple (LCM) of 44496 and 44506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44496 and 44506. First we will calculate the prime factors of 44496 and 44506.

Prime Factorization of 44496

Prime Factorization of 44506

Now multiplying the highest exponent prime factors to calculate the LCM of 44496 and 44506.

LCM(44496,44506) = 2⁴ × 3³ × 103¹ × 7¹ × 11¹ × 17²
LCM(44496,44506) = 990169488