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What is the Least Common Multiple of 68396 and 68404?

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 68396 and 68404 is 1169639996.

LCM(68396,68404) = 1169639996

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Least Common Multiple of 68396 and 68404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68396 and 68404, than apply into the LCM equation.

GCF(68396,68404) = 4
LCM(68396,68404) = ( 68396 × 68404) / 4
LCM(68396,68404) = 4678559984 / 4
LCM(68396,68404) = 1169639996

Least Common Multiple (LCM) of 68396 and 68404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68396 and 68404. First we will calculate the prime factors of 68396 and 68404.

Prime Factorization of 68396

Prime factors of 68396 are 2, 17099. Prime factorization of 68396 in exponential form is:

68396 = 22 × 170991

Prime Factorization of 68404

Prime factors of 68404 are 2, 7, 349. Prime factorization of 68404 in exponential form is:

68404 = 22 × 72 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 68396 and 68404.

LCM(68396,68404) = 22 × 170991 × 72 × 3491
LCM(68396,68404) = 1169639996