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What is the Least Common Multiple of 15291 and 15295?

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 15291 and 15295 is 233875845.

LCM(15291,15295) = 233875845

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Least Common Multiple of 15291 and 15295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15291 and 15295, than apply into the LCM equation.

GCF(15291,15295) = 1
LCM(15291,15295) = ( 15291 × 15295) / 1
LCM(15291,15295) = 233875845 / 1
LCM(15291,15295) = 233875845

Least Common Multiple (LCM) of 15291 and 15295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15291 and 15295. First we will calculate the prime factors of 15291 and 15295.

Prime Factorization of 15291

Prime factors of 15291 are 3, 1699. Prime factorization of 15291 in exponential form is:

15291 = 32 × 16991

Prime Factorization of 15295

Prime factors of 15295 are 5, 7, 19, 23. Prime factorization of 15295 in exponential form is:

15295 = 51 × 71 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 15291 and 15295.

LCM(15291,15295) = 32 × 16991 × 51 × 71 × 191 × 231
LCM(15291,15295) = 233875845