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What is the Least Common Multiple of 65157 and 65177?

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 65157 and 65177 is 4246737789.

LCM(65157,65177) = 4246737789

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Least Common Multiple of 65157 and 65177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65157 and 65177, than apply into the LCM equation.

GCF(65157,65177) = 1
LCM(65157,65177) = ( 65157 × 65177) / 1
LCM(65157,65177) = 4246737789 / 1
LCM(65157,65177) = 4246737789

Least Common Multiple (LCM) of 65157 and 65177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65157 and 65177. First we will calculate the prime factors of 65157 and 65177.

Prime Factorization of 65157

Prime factors of 65157 are 3, 37, 587. Prime factorization of 65157 in exponential form is:

65157 = 31 × 371 × 5871

Prime Factorization of 65177

Prime factors of 65177 are 7, 9311. Prime factorization of 65177 in exponential form is:

65177 = 71 × 93111

Now multiplying the highest exponent prime factors to calculate the LCM of 65157 and 65177.

LCM(65157,65177) = 31 × 371 × 5871 × 71 × 93111
LCM(65157,65177) = 4246737789