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What is the Least Common Multiple of 12355 and 12367?

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 12355 and 12367 is 152794285.

LCM(12355,12367) = 152794285

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Least Common Multiple of 12355 and 12367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12355 and 12367, than apply into the LCM equation.

GCF(12355,12367) = 1
LCM(12355,12367) = ( 12355 × 12367) / 1
LCM(12355,12367) = 152794285 / 1
LCM(12355,12367) = 152794285

Least Common Multiple (LCM) of 12355 and 12367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12355 and 12367. First we will calculate the prime factors of 12355 and 12367.

Prime Factorization of 12355

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

12355 = 51 × 71 × 3531

Prime Factorization of 12367

Prime factors of 12367 are 83, 149. Prime factorization of 12367 in exponential form is:

12367 = 831 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 12355 and 12367.

LCM(12355,12367) = 51 × 71 × 3531 × 831 × 1491
LCM(12355,12367) = 152794285