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What is the Least Common Multiple of 12551 and 12563?

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 12551 and 12563 is 157678213.

LCM(12551,12563) = 157678213

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Least Common Multiple of 12551 and 12563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12551 and 12563, than apply into the LCM equation.

GCF(12551,12563) = 1
LCM(12551,12563) = ( 12551 × 12563) / 1
LCM(12551,12563) = 157678213 / 1
LCM(12551,12563) = 157678213

Least Common Multiple (LCM) of 12551 and 12563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12551 and 12563. First we will calculate the prime factors of 12551 and 12563.

Prime Factorization of 12551

Prime factors of 12551 are 7, 11, 163. Prime factorization of 12551 in exponential form is:

12551 = 71 × 111 × 1631

Prime Factorization of 12563

Prime factors of 12563 are 17, 739. Prime factorization of 12563 in exponential form is:

12563 = 171 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 12551 and 12563.

LCM(12551,12563) = 71 × 111 × 1631 × 171 × 7391
LCM(12551,12563) = 157678213