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What is the Least Common Multiple of 12337 and 12355?

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 12337 and 12355 is 152423635.

LCM(12337,12355) = 152423635

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Least Common Multiple of 12337 and 12355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12337 and 12355, than apply into the LCM equation.

GCF(12337,12355) = 1
LCM(12337,12355) = ( 12337 × 12355) / 1
LCM(12337,12355) = 152423635 / 1
LCM(12337,12355) = 152423635

Least Common Multiple (LCM) of 12337 and 12355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12337 and 12355. First we will calculate the prime factors of 12337 and 12355.

Prime Factorization of 12337

Prime factors of 12337 are 13, 73. Prime factorization of 12337 in exponential form is:

12337 = 132 × 731

Prime Factorization of 12355

Prime factors of 12355 are 5, 7, 353. Prime factorization of 12355 in exponential form is:

12355 = 51 × 71 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 12337 and 12355.

LCM(12337,12355) = 132 × 731 × 51 × 71 × 3531
LCM(12337,12355) = 152423635