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What is the Least Common Multiple of 2551 and 2563?

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 2551 and 2563 is 6538213.

LCM(2551,2563) = 6538213

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Least Common Multiple of 2551 and 2563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2551 and 2563, than apply into the LCM equation.

GCF(2551,2563) = 1
LCM(2551,2563) = ( 2551 × 2563) / 1
LCM(2551,2563) = 6538213 / 1
LCM(2551,2563) = 6538213

Least Common Multiple (LCM) of 2551 and 2563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2551 and 2563. First we will calculate the prime factors of 2551 and 2563.

Prime Factorization of 2551

Prime factors of 2551 are 2551. Prime factorization of 2551 in exponential form is:

2551 = 25511

Prime Factorization of 2563

Prime factors of 2563 are 11, 233. Prime factorization of 2563 in exponential form is:

2563 = 111 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 2551 and 2563.

LCM(2551,2563) = 25511 × 111 × 2331
LCM(2551,2563) = 6538213