What is the Least Common Multiple of 44506 and 44513?

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 44506 and 44513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44506 and 44513, than apply into the LCM equation.

GCF(44506,44513) = 7
LCM(44506,44513) = ( 44506 × 44513) / 7
LCM(44506,44513) = 1981095578 / 7
LCM(44506,44513) = 283013654

Least Common Multiple (LCM) of 44506 and 44513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44506 and 44513. First we will calculate the prime factors of 44506 and 44513.

Prime Factorization of 44506

Prime Factorization of 44513

Now multiplying the highest exponent prime factors to calculate the LCM of 44506 and 44513.

LCM(44506,44513) = 2¹ × 7¹ × 11¹ × 17² × 6359¹
LCM(44506,44513) = 283013654