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What is the Least Common Multiple of 68295 and 68311?

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 68295 and 68311 is 4665299745.

LCM(68295,68311) = 4665299745

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Least Common Multiple of 68295 and 68311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68295 and 68311, than apply into the LCM equation.

GCF(68295,68311) = 1
LCM(68295,68311) = ( 68295 × 68311) / 1
LCM(68295,68311) = 4665299745 / 1
LCM(68295,68311) = 4665299745

Least Common Multiple (LCM) of 68295 and 68311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68295 and 68311. First we will calculate the prime factors of 68295 and 68311.

Prime Factorization of 68295

Prime factors of 68295 are 3, 5, 29, 157. Prime factorization of 68295 in exponential form is:

68295 = 31 × 51 × 291 × 1571

Prime Factorization of 68311

Prime factors of 68311 are 68311. Prime factorization of 68311 in exponential form is:

68311 = 683111

Now multiplying the highest exponent prime factors to calculate the LCM of 68295 and 68311.

LCM(68295,68311) = 31 × 51 × 291 × 1571 × 683111
LCM(68295,68311) = 4665299745