What is the Least Common Multiple of 10564 and 10583?

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 10583 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 10583, than apply into the LCM equation.

GCF(10564,10583) = 19
LCM(10564,10583) = ( 10564 × 10583) / 19
LCM(10564,10583) = 111798812 / 19
LCM(10564,10583) = 5884148

Least Common Multiple (LCM) of 10564 and 10583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10564 and 10583. First we will calculate the prime factors of 10564 and 10583.

Prime Factorization of 10564

Prime Factorization of 10583

Now multiplying the highest exponent prime factors to calculate the LCM of 10564 and 10583.

LCM(10564,10583) = 2² × 19¹ × 139¹ × 557¹
LCM(10564,10583) = 5884148