GCF and LCM Calculator Logo

What is the Least Common Multiple of 2610 and 2624?

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 (LCM) of 2610 and 2624 is 3424320.

LCM(2610,2624) = 3424320

LCM Calculator and
and

Least Common Multiple of 2610 and 2624 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 2624, than apply into the LCM equation.

GCF(2610,2624) = 2
LCM(2610,2624) = ( 2610 × 2624) / 2
LCM(2610,2624) = 6848640 / 2
LCM(2610,2624) = 3424320

Least Common Multiple (LCM) of 2610 and 2624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2610 and 2624. First we will calculate the prime factors of 2610 and 2624.

Prime Factorization of 2610

Prime factors of 2610 are 2, 3, 5, 29. Prime factorization of 2610 in exponential form is:

2610 = 21 × 32 × 51 × 291

Prime Factorization of 2624

Prime factors of 2624 are 2, 41. Prime factorization of 2624 in exponential form is:

2624 = 26 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 2610 and 2624.

LCM(2610,2624) = 26 × 32 × 51 × 291 × 411
LCM(2610,2624) = 3424320