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What is the Least Common Multiple of 15285 and 15296?

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 15285 and 15296 is 233799360.

LCM(15285,15296) = 233799360

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Least Common Multiple of 15285 and 15296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15285 and 15296, than apply into the LCM equation.

GCF(15285,15296) = 1
LCM(15285,15296) = ( 15285 × 15296) / 1
LCM(15285,15296) = 233799360 / 1
LCM(15285,15296) = 233799360

Least Common Multiple (LCM) of 15285 and 15296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15285 and 15296. First we will calculate the prime factors of 15285 and 15296.

Prime Factorization of 15285

Prime factors of 15285 are 3, 5, 1019. Prime factorization of 15285 in exponential form is:

15285 = 31 × 51 × 10191

Prime Factorization of 15296

Prime factors of 15296 are 2, 239. Prime factorization of 15296 in exponential form is:

15296 = 26 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 15285 and 15296.

LCM(15285,15296) = 31 × 51 × 10191 × 26 × 2391
LCM(15285,15296) = 233799360