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What is the Least Common Multiple of 2595 and 2608?

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 2595 and 2608 is 6767760.

LCM(2595,2608) = 6767760

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Least Common Multiple of 2595 and 2608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2595 and 2608, than apply into the LCM equation.

GCF(2595,2608) = 1
LCM(2595,2608) = ( 2595 × 2608) / 1
LCM(2595,2608) = 6767760 / 1
LCM(2595,2608) = 6767760

Least Common Multiple (LCM) of 2595 and 2608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2595 and 2608. First we will calculate the prime factors of 2595 and 2608.

Prime Factorization of 2595

Prime factors of 2595 are 3, 5, 173. Prime factorization of 2595 in exponential form is:

2595 = 31 × 51 × 1731

Prime Factorization of 2608

Prime factors of 2608 are 2, 163. Prime factorization of 2608 in exponential form is:

2608 = 24 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 2595 and 2608.

LCM(2595,2608) = 31 × 51 × 1731 × 24 × 1631
LCM(2595,2608) = 6767760