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What is the Least Common Multiple of 68342 and 68356?

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 68342 and 68356 is 2335792876.

LCM(68342,68356) = 2335792876

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Least Common Multiple of 68342 and 68356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68342 and 68356, than apply into the LCM equation.

GCF(68342,68356) = 2
LCM(68342,68356) = ( 68342 × 68356) / 2
LCM(68342,68356) = 4671585752 / 2
LCM(68342,68356) = 2335792876

Least Common Multiple (LCM) of 68342 and 68356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68342 and 68356. First we will calculate the prime factors of 68342 and 68356.

Prime Factorization of 68342

Prime factors of 68342 are 2, 34171. Prime factorization of 68342 in exponential form is:

68342 = 21 × 341711

Prime Factorization of 68356

Prime factors of 68356 are 2, 23, 743. Prime factorization of 68356 in exponential form is:

68356 = 22 × 231 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 68342 and 68356.

LCM(68342,68356) = 22 × 341711 × 231 × 7431
LCM(68342,68356) = 2335792876