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What is the Least Common Multiple of 68359 and 68371?

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 68359 and 68371 is 4673773189.

LCM(68359,68371) = 4673773189

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Least Common Multiple of 68359 and 68371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68359 and 68371, than apply into the LCM equation.

GCF(68359,68371) = 1
LCM(68359,68371) = ( 68359 × 68371) / 1
LCM(68359,68371) = 4673773189 / 1
LCM(68359,68371) = 4673773189

Least Common Multiple (LCM) of 68359 and 68371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68359 and 68371. First we will calculate the prime factors of 68359 and 68371.

Prime Factorization of 68359

Prime factors of 68359 are 197, 347. Prime factorization of 68359 in exponential form is:

68359 = 1971 × 3471

Prime Factorization of 68371

Prime factors of 68371 are 68371. Prime factorization of 68371 in exponential form is:

68371 = 683711

Now multiplying the highest exponent prime factors to calculate the LCM of 68359 and 68371.

LCM(68359,68371) = 1971 × 3471 × 683711
LCM(68359,68371) = 4673773189