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What is the Least Common Multiple of 68706 and 68717?

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 68706 and 68717 is 429206382.

LCM(68706,68717) = 429206382

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Least Common Multiple of 68706 and 68717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68706 and 68717, than apply into the LCM equation.

GCF(68706,68717) = 11
LCM(68706,68717) = ( 68706 × 68717) / 11
LCM(68706,68717) = 4721270202 / 11
LCM(68706,68717) = 429206382

Least Common Multiple (LCM) of 68706 and 68717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68706 and 68717. First we will calculate the prime factors of 68706 and 68717.

Prime Factorization of 68706

Prime factors of 68706 are 2, 3, 11, 347. Prime factorization of 68706 in exponential form is:

68706 = 21 × 32 × 111 × 3471

Prime Factorization of 68717

Prime factors of 68717 are 11, 6247. Prime factorization of 68717 in exponential form is:

68717 = 111 × 62471

Now multiplying the highest exponent prime factors to calculate the LCM of 68706 and 68717.

LCM(68706,68717) = 21 × 32 × 111 × 3471 × 62471
LCM(68706,68717) = 429206382