What is the Least Common Multiple of 10565 and 10578?

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 10565 and 10578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10565 and 10578, than apply into the LCM equation.

GCF(10565,10578) = 1
LCM(10565,10578) = ( 10565 × 10578) / 1
LCM(10565,10578) = 111756570 / 1
LCM(10565,10578) = 111756570

Least Common Multiple (LCM) of 10565 and 10578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10565 and 10578. First we will calculate the prime factors of 10565 and 10578.

Prime Factorization of 10565

Prime Factorization of 10578

Now multiplying the highest exponent prime factors to calculate the LCM of 10565 and 10578.

LCM(10565,10578) = 5¹ × 2113¹ × 2¹ × 3¹ × 41¹ × 43¹
LCM(10565,10578) = 111756570