What is the Least Common Multiple of 16560 and 16574?

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 16560 and 16574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16560 and 16574, than apply into the LCM equation.

GCF(16560,16574) = 2
LCM(16560,16574) = ( 16560 × 16574) / 2
LCM(16560,16574) = 274465440 / 2
LCM(16560,16574) = 137232720

Least Common Multiple (LCM) of 16560 and 16574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16560 and 16574. First we will calculate the prime factors of 16560 and 16574.

Prime Factorization of 16560

Prime Factorization of 16574

Now multiplying the highest exponent prime factors to calculate the LCM of 16560 and 16574.

LCM(16560,16574) = 2⁴ × 3² × 5¹ × 23¹ × 8287¹
LCM(16560,16574) = 137232720