What is the Least Common Multiple of 17564 and 17569?

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 17564 and 17569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17564 and 17569, than apply into the LCM equation.

GCF(17564,17569) = 1
LCM(17564,17569) = ( 17564 × 17569) / 1
LCM(17564,17569) = 308581916 / 1
LCM(17564,17569) = 308581916

Least Common Multiple (LCM) of 17564 and 17569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17564 and 17569. First we will calculate the prime factors of 17564 and 17569.

Prime Factorization of 17564

Prime Factorization of 17569

Now multiplying the highest exponent prime factors to calculate the LCM of 17564 and 17569.

LCM(17564,17569) = 2² × 4391¹ × 17569¹
LCM(17564,17569) = 308581916