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What is the Least Common Multiple of 2551 and 2558?

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 2558 is 6525458.

LCM(2551,2558) = 6525458

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Least Common Multiple of 2551 and 2558 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 2558, than apply into the LCM equation.

GCF(2551,2558) = 1
LCM(2551,2558) = ( 2551 × 2558) / 1
LCM(2551,2558) = 6525458 / 1
LCM(2551,2558) = 6525458

Least Common Multiple (LCM) of 2551 and 2558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2551 and 2558. First we will calculate the prime factors of 2551 and 2558.

Prime Factorization of 2551

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

2551 = 25511

Prime Factorization of 2558

Prime factors of 2558 are 2, 1279. Prime factorization of 2558 in exponential form is:

2558 = 21 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 2551 and 2558.

LCM(2551,2558) = 25511 × 21 × 12791
LCM(2551,2558) = 6525458