What is the Least Common Multiple of 2592 and 2610?

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 2592 and 2610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2592 and 2610, than apply into the LCM equation.

GCF(2592,2610) = 18
LCM(2592,2610) = ( 2592 × 2610) / 18
LCM(2592,2610) = 6765120 / 18
LCM(2592,2610) = 375840

Least Common Multiple (LCM) of 2592 and 2610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2592 and 2610. First we will calculate the prime factors of 2592 and 2610.

Prime Factorization of 2592

Prime Factorization of 2610

Now multiplying the highest exponent prime factors to calculate the LCM of 2592 and 2610.

LCM(2592,2610) = 2⁵ × 3⁴ × 5¹ × 29¹
LCM(2592,2610) = 375840