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What is the Least Common Multiple of 15289 and 15303?

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 15289 and 15303 is 233967567.

LCM(15289,15303) = 233967567

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Least Common Multiple of 15289 and 15303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15289 and 15303, than apply into the LCM equation.

GCF(15289,15303) = 1
LCM(15289,15303) = ( 15289 × 15303) / 1
LCM(15289,15303) = 233967567 / 1
LCM(15289,15303) = 233967567

Least Common Multiple (LCM) of 15289 and 15303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15289 and 15303. First we will calculate the prime factors of 15289 and 15303.

Prime Factorization of 15289

Prime factors of 15289 are 15289. Prime factorization of 15289 in exponential form is:

15289 = 152891

Prime Factorization of 15303

Prime factors of 15303 are 3, 5101. Prime factorization of 15303 in exponential form is:

15303 = 31 × 51011

Now multiplying the highest exponent prime factors to calculate the LCM of 15289 and 15303.

LCM(15289,15303) = 152891 × 31 × 51011
LCM(15289,15303) = 233967567