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What is the Least Common Multiple of 68904 and 68917?

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 68904 and 68917 is 4748656968.

LCM(68904,68917) = 4748656968

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Least Common Multiple of 68904 and 68917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68904 and 68917, than apply into the LCM equation.

GCF(68904,68917) = 1
LCM(68904,68917) = ( 68904 × 68917) / 1
LCM(68904,68917) = 4748656968 / 1
LCM(68904,68917) = 4748656968

Least Common Multiple (LCM) of 68904 and 68917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68904 and 68917. First we will calculate the prime factors of 68904 and 68917.

Prime Factorization of 68904

Prime factors of 68904 are 2, 3, 11, 29. Prime factorization of 68904 in exponential form is:

68904 = 23 × 33 × 111 × 291

Prime Factorization of 68917

Prime factors of 68917 are 68917. Prime factorization of 68917 in exponential form is:

68917 = 689171

Now multiplying the highest exponent prime factors to calculate the LCM of 68904 and 68917.

LCM(68904,68917) = 23 × 33 × 111 × 291 × 689171
LCM(68904,68917) = 4748656968