What is the Least Common Multiple of 2610 and 2630?

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 2630 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 2630, than apply into the LCM equation.

GCF(2610,2630) = 10
LCM(2610,2630) = ( 2610 × 2630) / 10
LCM(2610,2630) = 6864300 / 10
LCM(2610,2630) = 686430

Least Common Multiple (LCM) of 2610 and 2630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2610 and 2630. First we will calculate the prime factors of 2610 and 2630.

Prime Factorization of 2610

Prime Factorization of 2630

Now multiplying the highest exponent prime factors to calculate the LCM of 2610 and 2630.

LCM(2610,2630) = 2¹ × 3² × 5¹ × 29¹ × 263¹
LCM(2610,2630) = 686430