What is the Least Common Multiple of 44498 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 of 44498 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 44498 and 44518, than apply into the LCM equation.

GCF(44498,44518) = 2
LCM(44498,44518) = ( 44498 × 44518) / 2
LCM(44498,44518) = 1980961964 / 2
LCM(44498,44518) = 990480982

Least Common Multiple (LCM) of 44498 and 44518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44498 and 44518. First we will calculate the prime factors of 44498 and 44518.

Prime Factorization of 44498

Prime Factorization of 44518

Now multiplying the highest exponent prime factors to calculate the LCM of 44498 and 44518.

LCM(44498,44518) = 2¹ × 19¹ × 1171¹ × 22259¹
LCM(44498,44518) = 990480982