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What is the Least Common Multiple of 51235 and 51239?

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 51235 and 51239 is 2625230165.

LCM(51235,51239) = 2625230165

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Least Common Multiple of 51235 and 51239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51235 and 51239, than apply into the LCM equation.

GCF(51235,51239) = 1
LCM(51235,51239) = ( 51235 × 51239) / 1
LCM(51235,51239) = 2625230165 / 1
LCM(51235,51239) = 2625230165

Least Common Multiple (LCM) of 51235 and 51239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51235 and 51239. First we will calculate the prime factors of 51235 and 51239.

Prime Factorization of 51235

Prime factors of 51235 are 5, 10247. Prime factorization of 51235 in exponential form is:

51235 = 51 × 102471

Prime Factorization of 51239

Prime factors of 51239 are 51239. Prime factorization of 51239 in exponential form is:

51239 = 512391

Now multiplying the highest exponent prime factors to calculate the LCM of 51235 and 51239.

LCM(51235,51239) = 51 × 102471 × 512391
LCM(51235,51239) = 2625230165