What is the Least Common Multiple of 15488 and 15499?

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 15488 and 15499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15488 and 15499, than apply into the LCM equation.

GCF(15488,15499) = 11
LCM(15488,15499) = ( 15488 × 15499) / 11
LCM(15488,15499) = 240048512 / 11
LCM(15488,15499) = 21822592

Least Common Multiple (LCM) of 15488 and 15499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15488 and 15499. First we will calculate the prime factors of 15488 and 15499.

Prime Factorization of 15488

Prime Factorization of 15499

Now multiplying the highest exponent prime factors to calculate the LCM of 15488 and 15499.

LCM(15488,15499) = 2⁷ × 11² × 1409¹
LCM(15488,15499) = 21822592