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What is the Least Common Multiple of 65295 and 65306?

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 65295 and 65306 is 4264155270.

LCM(65295,65306) = 4264155270

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Least Common Multiple of 65295 and 65306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65295 and 65306, than apply into the LCM equation.

GCF(65295,65306) = 1
LCM(65295,65306) = ( 65295 × 65306) / 1
LCM(65295,65306) = 4264155270 / 1
LCM(65295,65306) = 4264155270

Least Common Multiple (LCM) of 65295 and 65306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65295 and 65306. First we will calculate the prime factors of 65295 and 65306.

Prime Factorization of 65295

Prime factors of 65295 are 3, 5, 1451. Prime factorization of 65295 in exponential form is:

65295 = 32 × 51 × 14511

Prime Factorization of 65306

Prime factors of 65306 are 2, 32653. Prime factorization of 65306 in exponential form is:

65306 = 21 × 326531

Now multiplying the highest exponent prime factors to calculate the LCM of 65295 and 65306.

LCM(65295,65306) = 32 × 51 × 14511 × 21 × 326531
LCM(65295,65306) = 4264155270