What is the Least Common Multiple of 10564 and 10568?

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 10564 and 10568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10564 and 10568, than apply into the LCM equation.

GCF(10564,10568) = 4
LCM(10564,10568) = ( 10564 × 10568) / 4
LCM(10564,10568) = 111640352 / 4
LCM(10564,10568) = 27910088

Least Common Multiple (LCM) of 10564 and 10568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10564 and 10568. First we will calculate the prime factors of 10564 and 10568.

Prime Factorization of 10564

Prime Factorization of 10568

Now multiplying the highest exponent prime factors to calculate the LCM of 10564 and 10568.

LCM(10564,10568) = 2³ × 19¹ × 139¹ × 1321¹
LCM(10564,10568) = 27910088