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What is the Least Common Multiple of 15367 and 15373?

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 15367 and 15373 is 236236891.

LCM(15367,15373) = 236236891

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Least Common Multiple of 15367 and 15373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15367 and 15373, than apply into the LCM equation.

GCF(15367,15373) = 1
LCM(15367,15373) = ( 15367 × 15373) / 1
LCM(15367,15373) = 236236891 / 1
LCM(15367,15373) = 236236891

Least Common Multiple (LCM) of 15367 and 15373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15367 and 15373. First we will calculate the prime factors of 15367 and 15373.

Prime Factorization of 15367

Prime factors of 15367 are 11, 127. Prime factorization of 15367 in exponential form is:

15367 = 112 × 1271

Prime Factorization of 15373

Prime factors of 15373 are 15373. Prime factorization of 15373 in exponential form is:

15373 = 153731

Now multiplying the highest exponent prime factors to calculate the LCM of 15367 and 15373.

LCM(15367,15373) = 112 × 1271 × 153731
LCM(15367,15373) = 236236891