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What is the Least Common Multiple of 15295 and 15311?

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 15295 and 15311 is 234181745.

LCM(15295,15311) = 234181745

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Least Common Multiple of 15295 and 15311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15295 and 15311, than apply into the LCM equation.

GCF(15295,15311) = 1
LCM(15295,15311) = ( 15295 × 15311) / 1
LCM(15295,15311) = 234181745 / 1
LCM(15295,15311) = 234181745

Least Common Multiple (LCM) of 15295 and 15311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15295 and 15311. First we will calculate the prime factors of 15295 and 15311.

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

Prime Factorization of 15311

Prime factors of 15311 are 61, 251. Prime factorization of 15311 in exponential form is:

15311 = 611 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 15295 and 15311.

LCM(15295,15311) = 51 × 71 × 191 × 231 × 611 × 2511
LCM(15295,15311) = 234181745