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What is the Least Common Multiple of 15266 and 15275?

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 15266 and 15275 is 233188150.

LCM(15266,15275) = 233188150

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Least Common Multiple of 15266 and 15275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15266 and 15275, than apply into the LCM equation.

GCF(15266,15275) = 1
LCM(15266,15275) = ( 15266 × 15275) / 1
LCM(15266,15275) = 233188150 / 1
LCM(15266,15275) = 233188150

Least Common Multiple (LCM) of 15266 and 15275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15266 and 15275. First we will calculate the prime factors of 15266 and 15275.

Prime Factorization of 15266

Prime factors of 15266 are 2, 17, 449. Prime factorization of 15266 in exponential form is:

15266 = 21 × 171 × 4491

Prime Factorization of 15275

Prime factors of 15275 are 5, 13, 47. Prime factorization of 15275 in exponential form is:

15275 = 52 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 15266 and 15275.

LCM(15266,15275) = 21 × 171 × 4491 × 52 × 131 × 471
LCM(15266,15275) = 233188150