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What is the Least Common Multiple of 68904 and 68912?

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 68912 is 593539056.

LCM(68904,68912) = 593539056

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Least Common Multiple of 68904 and 68912 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 68912, than apply into the LCM equation.

GCF(68904,68912) = 8
LCM(68904,68912) = ( 68904 × 68912) / 8
LCM(68904,68912) = 4748312448 / 8
LCM(68904,68912) = 593539056

Least Common Multiple (LCM) of 68904 and 68912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68904 and 68912. First we will calculate the prime factors of 68904 and 68912.

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 68912

Prime factors of 68912 are 2, 59, 73. Prime factorization of 68912 in exponential form is:

68912 = 24 × 591 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 68904 and 68912.

LCM(68904,68912) = 24 × 33 × 111 × 291 × 591 × 731
LCM(68904,68912) = 593539056