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What is the Least Common Multiple of 2605 and 2616?

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 2605 and 2616 is 6814680.

LCM(2605,2616) = 6814680

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Least Common Multiple of 2605 and 2616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2605 and 2616, than apply into the LCM equation.

GCF(2605,2616) = 1
LCM(2605,2616) = ( 2605 × 2616) / 1
LCM(2605,2616) = 6814680 / 1
LCM(2605,2616) = 6814680

Least Common Multiple (LCM) of 2605 and 2616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2605 and 2616. First we will calculate the prime factors of 2605 and 2616.

Prime Factorization of 2605

Prime factors of 2605 are 5, 521. Prime factorization of 2605 in exponential form is:

2605 = 51 × 5211

Prime Factorization of 2616

Prime factors of 2616 are 2, 3, 109. Prime factorization of 2616 in exponential form is:

2616 = 23 × 31 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2605 and 2616.

LCM(2605,2616) = 51 × 5211 × 23 × 31 × 1091
LCM(2605,2616) = 6814680