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What is the Least Common Multiple of 65346 and 65357?

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 65346 and 65357 is 4270818522.

LCM(65346,65357) = 4270818522

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Least Common Multiple of 65346 and 65357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65346 and 65357, than apply into the LCM equation.

GCF(65346,65357) = 1
LCM(65346,65357) = ( 65346 × 65357) / 1
LCM(65346,65357) = 4270818522 / 1
LCM(65346,65357) = 4270818522

Least Common Multiple (LCM) of 65346 and 65357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65346 and 65357. First we will calculate the prime factors of 65346 and 65357.

Prime Factorization of 65346

Prime factors of 65346 are 2, 3, 10891. Prime factorization of 65346 in exponential form is:

65346 = 21 × 31 × 108911

Prime Factorization of 65357

Prime factors of 65357 are 65357. Prime factorization of 65357 in exponential form is:

65357 = 653571

Now multiplying the highest exponent prime factors to calculate the LCM of 65346 and 65357.

LCM(65346,65357) = 21 × 31 × 108911 × 653571
LCM(65346,65357) = 4270818522