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What is the Least Common Multiple of 68375 and 68382?

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 68375 and 68382 is 4675619250.

LCM(68375,68382) = 4675619250

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Least Common Multiple of 68375 and 68382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68375 and 68382, than apply into the LCM equation.

GCF(68375,68382) = 1
LCM(68375,68382) = ( 68375 × 68382) / 1
LCM(68375,68382) = 4675619250 / 1
LCM(68375,68382) = 4675619250

Least Common Multiple (LCM) of 68375 and 68382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68375 and 68382. First we will calculate the prime factors of 68375 and 68382.

Prime Factorization of 68375

Prime factors of 68375 are 5, 547. Prime factorization of 68375 in exponential form is:

68375 = 53 × 5471

Prime Factorization of 68382

Prime factors of 68382 are 2, 3, 29, 131. Prime factorization of 68382 in exponential form is:

68382 = 21 × 32 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 68375 and 68382.

LCM(68375,68382) = 53 × 5471 × 21 × 32 × 291 × 1311
LCM(68375,68382) = 4675619250