What is the Least Common Multiple of 10590 and 10608?

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 10590 and 10608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10590 and 10608, than apply into the LCM equation.

GCF(10590,10608) = 6
LCM(10590,10608) = ( 10590 × 10608) / 6
LCM(10590,10608) = 112338720 / 6
LCM(10590,10608) = 18723120

Least Common Multiple (LCM) of 10590 and 10608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10590 and 10608. First we will calculate the prime factors of 10590 and 10608.

Prime Factorization of 10590

Prime Factorization of 10608

Now multiplying the highest exponent prime factors to calculate the LCM of 10590 and 10608.

LCM(10590,10608) = 2⁴ × 3¹ × 5¹ × 353¹ × 13¹ × 17¹
LCM(10590,10608) = 18723120