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What is the Least Common Multiple of 68686 and 68700?

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 68686 and 68700 is 2359364100.

LCM(68686,68700) = 2359364100

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Least Common Multiple of 68686 and 68700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68686 and 68700, than apply into the LCM equation.

GCF(68686,68700) = 2
LCM(68686,68700) = ( 68686 × 68700) / 2
LCM(68686,68700) = 4718728200 / 2
LCM(68686,68700) = 2359364100

Least Common Multiple (LCM) of 68686 and 68700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68686 and 68700. First we will calculate the prime factors of 68686 and 68700.

Prime Factorization of 68686

Prime factors of 68686 are 2, 61, 563. Prime factorization of 68686 in exponential form is:

68686 = 21 × 611 × 5631

Prime Factorization of 68700

Prime factors of 68700 are 2, 3, 5, 229. Prime factorization of 68700 in exponential form is:

68700 = 22 × 31 × 52 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 68686 and 68700.

LCM(68686,68700) = 22 × 611 × 5631 × 31 × 52 × 2291
LCM(68686,68700) = 2359364100