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What is the Least Common Multiple of 15307 and 15319?

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 15307 and 15319 is 234487933.

LCM(15307,15319) = 234487933

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Least Common Multiple of 15307 and 15319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15307 and 15319, than apply into the LCM equation.

GCF(15307,15319) = 1
LCM(15307,15319) = ( 15307 × 15319) / 1
LCM(15307,15319) = 234487933 / 1
LCM(15307,15319) = 234487933

Least Common Multiple (LCM) of 15307 and 15319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15307 and 15319. First we will calculate the prime factors of 15307 and 15319.

Prime Factorization of 15307

Prime factors of 15307 are 15307. Prime factorization of 15307 in exponential form is:

15307 = 153071

Prime Factorization of 15319

Prime factors of 15319 are 15319. Prime factorization of 15319 in exponential form is:

15319 = 153191

Now multiplying the highest exponent prime factors to calculate the LCM of 15307 and 15319.

LCM(15307,15319) = 153071 × 153191
LCM(15307,15319) = 234487933