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What is the Least Common Multiple of 68155 and 68165?

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 68155 and 68165 is 929157115.

LCM(68155,68165) = 929157115

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Least Common Multiple of 68155 and 68165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68155 and 68165, than apply into the LCM equation.

GCF(68155,68165) = 5
LCM(68155,68165) = ( 68155 × 68165) / 5
LCM(68155,68165) = 4645785575 / 5
LCM(68155,68165) = 929157115

Least Common Multiple (LCM) of 68155 and 68165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68155 and 68165. First we will calculate the prime factors of 68155 and 68165.

Prime Factorization of 68155

Prime factors of 68155 are 5, 43, 317. Prime factorization of 68155 in exponential form is:

68155 = 51 × 431 × 3171

Prime Factorization of 68165

Prime factors of 68165 are 5, 13633. Prime factorization of 68165 in exponential form is:

68165 = 51 × 136331

Now multiplying the highest exponent prime factors to calculate the LCM of 68155 and 68165.

LCM(68155,68165) = 51 × 431 × 3171 × 136331
LCM(68155,68165) = 929157115