What is the Least Common Multiple of 16488 and 16503?

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 16488 and 16503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16488 and 16503, than apply into the LCM equation.

GCF(16488,16503) = 3
LCM(16488,16503) = ( 16488 × 16503) / 3
LCM(16488,16503) = 272101464 / 3
LCM(16488,16503) = 90700488

Least Common Multiple (LCM) of 16488 and 16503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16488 and 16503. First we will calculate the prime factors of 16488 and 16503.

Prime Factorization of 16488

Prime Factorization of 16503

Now multiplying the highest exponent prime factors to calculate the LCM of 16488 and 16503.

LCM(16488,16503) = 2³ × 3² × 229¹ × 5501¹
LCM(16488,16503) = 90700488