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What is the Least Common Multiple of 15259 and 15273?

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 15259 and 15273 is 233050707.

LCM(15259,15273) = 233050707

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Least Common Multiple of 15259 and 15273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15259 and 15273, than apply into the LCM equation.

GCF(15259,15273) = 1
LCM(15259,15273) = ( 15259 × 15273) / 1
LCM(15259,15273) = 233050707 / 1
LCM(15259,15273) = 233050707

Least Common Multiple (LCM) of 15259 and 15273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15259 and 15273. First we will calculate the prime factors of 15259 and 15273.

Prime Factorization of 15259

Prime factors of 15259 are 15259. Prime factorization of 15259 in exponential form is:

15259 = 152591

Prime Factorization of 15273

Prime factors of 15273 are 3, 1697. Prime factorization of 15273 in exponential form is:

15273 = 32 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 15259 and 15273.

LCM(15259,15273) = 152591 × 32 × 16971
LCM(15259,15273) = 233050707