What is the Least Common Multiple of 16480 and 16493?

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 16480 and 16493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16480 and 16493, than apply into the LCM equation.

GCF(16480,16493) = 1
LCM(16480,16493) = ( 16480 × 16493) / 1
LCM(16480,16493) = 271804640 / 1
LCM(16480,16493) = 271804640

Least Common Multiple (LCM) of 16480 and 16493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16480 and 16493. First we will calculate the prime factors of 16480 and 16493.

Prime Factorization of 16480

Prime Factorization of 16493

Now multiplying the highest exponent prime factors to calculate the LCM of 16480 and 16493.

LCM(16480,16493) = 2⁵ × 5¹ × 103¹ × 16493¹
LCM(16480,16493) = 271804640