What is the Least Common Multiple of 10575 and 10590?

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 10575 and 10590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10575 and 10590, than apply into the LCM equation.

GCF(10575,10590) = 15
LCM(10575,10590) = ( 10575 × 10590) / 15
LCM(10575,10590) = 111989250 / 15
LCM(10575,10590) = 7465950

Least Common Multiple (LCM) of 10575 and 10590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10575 and 10590. First we will calculate the prime factors of 10575 and 10590.

Prime Factorization of 10575

Prime Factorization of 10590

Now multiplying the highest exponent prime factors to calculate the LCM of 10575 and 10590.

LCM(10575,10590) = 3² × 5² × 47¹ × 2¹ × 353¹
LCM(10575,10590) = 7465950