What is the Least Common Multiple of 2610 and 2615?

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 2610 and 2615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2610 and 2615, than apply into the LCM equation.

GCF(2610,2615) = 5
LCM(2610,2615) = ( 2610 × 2615) / 5
LCM(2610,2615) = 6825150 / 5
LCM(2610,2615) = 1365030

Least Common Multiple (LCM) of 2610 and 2615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2610 and 2615. First we will calculate the prime factors of 2610 and 2615.

Prime Factorization of 2610

Prime Factorization of 2615

Now multiplying the highest exponent prime factors to calculate the LCM of 2610 and 2615.

LCM(2610,2615) = 2¹ × 3² × 5¹ × 29¹ × 523¹
LCM(2610,2615) = 1365030