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What is the Least Common Multiple of 15295 and 15300?

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 15300 is 46802700.

LCM(15295,15300) = 46802700

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Least Common Multiple of 15295 and 15300 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 15300, than apply into the LCM equation.

GCF(15295,15300) = 5
LCM(15295,15300) = ( 15295 × 15300) / 5
LCM(15295,15300) = 234013500 / 5
LCM(15295,15300) = 46802700

Least Common Multiple (LCM) of 15295 and 15300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15295 and 15300. First we will calculate the prime factors of 15295 and 15300.

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 15300

Prime factors of 15300 are 2, 3, 5, 17. Prime factorization of 15300 in exponential form is:

15300 = 22 × 32 × 52 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 15295 and 15300.

LCM(15295,15300) = 52 × 71 × 191 × 231 × 22 × 32 × 171
LCM(15295,15300) = 46802700