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What is the Least Common Multiple of 15267 and 15280?

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 15267 and 15280 is 233279760.

LCM(15267,15280) = 233279760

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Least Common Multiple of 15267 and 15280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15267 and 15280, than apply into the LCM equation.

GCF(15267,15280) = 1
LCM(15267,15280) = ( 15267 × 15280) / 1
LCM(15267,15280) = 233279760 / 1
LCM(15267,15280) = 233279760

Least Common Multiple (LCM) of 15267 and 15280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15267 and 15280. First we will calculate the prime factors of 15267 and 15280.

Prime Factorization of 15267

Prime factors of 15267 are 3, 7, 727. Prime factorization of 15267 in exponential form is:

15267 = 31 × 71 × 7271

Prime Factorization of 15280

Prime factors of 15280 are 2, 5, 191. Prime factorization of 15280 in exponential form is:

15280 = 24 × 51 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 15267 and 15280.

LCM(15267,15280) = 31 × 71 × 7271 × 24 × 51 × 1911
LCM(15267,15280) = 233279760