What is the Least Common Multiple of 10545 and 10564?

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 10545 and 10564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10545 and 10564, than apply into the LCM equation.

GCF(10545,10564) = 19
LCM(10545,10564) = ( 10545 × 10564) / 19
LCM(10545,10564) = 111397380 / 19
LCM(10545,10564) = 5863020

Least Common Multiple (LCM) of 10545 and 10564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10545 and 10564. First we will calculate the prime factors of 10545 and 10564.

Prime Factorization of 10545

Prime Factorization of 10564

Now multiplying the highest exponent prime factors to calculate the LCM of 10545 and 10564.

LCM(10545,10564) = 3¹ × 5¹ × 19¹ × 37¹ × 2² × 139¹
LCM(10545,10564) = 5863020