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What is the Least Common Multiple of 65385 and 65405?

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 65385 and 65405 is 855301185.

LCM(65385,65405) = 855301185

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Least Common Multiple of 65385 and 65405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65385 and 65405, than apply into the LCM equation.

GCF(65385,65405) = 5
LCM(65385,65405) = ( 65385 × 65405) / 5
LCM(65385,65405) = 4276505925 / 5
LCM(65385,65405) = 855301185

Least Common Multiple (LCM) of 65385 and 65405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65385 and 65405. First we will calculate the prime factors of 65385 and 65405.

Prime Factorization of 65385

Prime factors of 65385 are 3, 5, 1453. Prime factorization of 65385 in exponential form is:

65385 = 32 × 51 × 14531

Prime Factorization of 65405

Prime factors of 65405 are 5, 103, 127. Prime factorization of 65405 in exponential form is:

65405 = 51 × 1031 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 65385 and 65405.

LCM(65385,65405) = 32 × 51 × 14531 × 1031 × 1271
LCM(65385,65405) = 855301185