What is the Least Common Multiple of 17568 and 17574?

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 17568 and 17574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17568 and 17574, than apply into the LCM equation.

GCF(17568,17574) = 6
LCM(17568,17574) = ( 17568 × 17574) / 6
LCM(17568,17574) = 308740032 / 6
LCM(17568,17574) = 51456672

Least Common Multiple (LCM) of 17568 and 17574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17568 and 17574. First we will calculate the prime factors of 17568 and 17574.

Prime Factorization of 17568

Prime Factorization of 17574

Now multiplying the highest exponent prime factors to calculate the LCM of 17568 and 17574.

LCM(17568,17574) = 2⁵ × 3² × 61¹ × 29¹ × 101¹
LCM(17568,17574) = 51456672