GCF and LCM Calculator Logo

What is the Least Common Multiple of 44509 and 44518?

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 (LCM) of 44509 and 44518 is 1981451662.

LCM(44509,44518) = 1981451662

LCM Calculator and
and

Least Common Multiple of 44509 and 44518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44509 and 44518, than apply into the LCM equation.

GCF(44509,44518) = 1
LCM(44509,44518) = ( 44509 × 44518) / 1
LCM(44509,44518) = 1981451662 / 1
LCM(44509,44518) = 1981451662

Least Common Multiple (LCM) of 44509 and 44518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44509 and 44518. First we will calculate the prime factors of 44509 and 44518.

Prime Factorization of 44509

Prime factors of 44509 are 47, 947. Prime factorization of 44509 in exponential form is:

44509 = 471 × 9471

Prime Factorization of 44518

Prime factors of 44518 are 2, 22259. Prime factorization of 44518 in exponential form is:

44518 = 21 × 222591

Now multiplying the highest exponent prime factors to calculate the LCM of 44509 and 44518.

LCM(44509,44518) = 471 × 9471 × 21 × 222591
LCM(44509,44518) = 1981451662