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What is the Least Common Multiple of 12603 and 12617?

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 12603 and 12617 is 159012051.

LCM(12603,12617) = 159012051

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Least Common Multiple of 12603 and 12617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12603 and 12617, than apply into the LCM equation.

GCF(12603,12617) = 1
LCM(12603,12617) = ( 12603 × 12617) / 1
LCM(12603,12617) = 159012051 / 1
LCM(12603,12617) = 159012051

Least Common Multiple (LCM) of 12603 and 12617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12603 and 12617. First we will calculate the prime factors of 12603 and 12617.

Prime Factorization of 12603

Prime factors of 12603 are 3, 4201. Prime factorization of 12603 in exponential form is:

12603 = 31 × 42011

Prime Factorization of 12617

Prime factors of 12617 are 11, 31, 37. Prime factorization of 12617 in exponential form is:

12617 = 111 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 12603 and 12617.

LCM(12603,12617) = 31 × 42011 × 111 × 311 × 371
LCM(12603,12617) = 159012051