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What is the Least Common Multiple of 2591 and 2600?

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 2591 and 2600 is 6736600.

LCM(2591,2600) = 6736600

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Least Common Multiple of 2591 and 2600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2591 and 2600, than apply into the LCM equation.

GCF(2591,2600) = 1
LCM(2591,2600) = ( 2591 × 2600) / 1
LCM(2591,2600) = 6736600 / 1
LCM(2591,2600) = 6736600

Least Common Multiple (LCM) of 2591 and 2600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2591 and 2600. First we will calculate the prime factors of 2591 and 2600.

Prime Factorization of 2591

Prime factors of 2591 are 2591. Prime factorization of 2591 in exponential form is:

2591 = 25911

Prime Factorization of 2600

Prime factors of 2600 are 2, 5, 13. Prime factorization of 2600 in exponential form is:

2600 = 23 × 52 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 2591 and 2600.

LCM(2591,2600) = 25911 × 23 × 52 × 131
LCM(2591,2600) = 6736600