What is the Least Common Multiple of 10564 and 10580?

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 10580 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 10580, than apply into the LCM equation.

GCF(10564,10580) = 4
LCM(10564,10580) = ( 10564 × 10580) / 4
LCM(10564,10580) = 111767120 / 4
LCM(10564,10580) = 27941780

Least Common Multiple (LCM) of 10564 and 10580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10564 and 10580. First we will calculate the prime factors of 10564 and 10580.

Prime Factorization of 10564

Prime Factorization of 10580

Now multiplying the highest exponent prime factors to calculate the LCM of 10564 and 10580.

LCM(10564,10580) = 2² × 19¹ × 139¹ × 5¹ × 23²
LCM(10564,10580) = 27941780