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What is the Least Common Multiple of 68178 and 68193?

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 68178 and 68193 is 1549754118.

LCM(68178,68193) = 1549754118

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Least Common Multiple of 68178 and 68193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68178 and 68193, than apply into the LCM equation.

GCF(68178,68193) = 3
LCM(68178,68193) = ( 68178 × 68193) / 3
LCM(68178,68193) = 4649262354 / 3
LCM(68178,68193) = 1549754118

Least Common Multiple (LCM) of 68178 and 68193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68178 and 68193. First we will calculate the prime factors of 68178 and 68193.

Prime Factorization of 68178

Prime factors of 68178 are 2, 3, 11, 1033. Prime factorization of 68178 in exponential form is:

68178 = 21 × 31 × 111 × 10331

Prime Factorization of 68193

Prime factors of 68193 are 3, 7577. Prime factorization of 68193 in exponential form is:

68193 = 32 × 75771

Now multiplying the highest exponent prime factors to calculate the LCM of 68178 and 68193.

LCM(68178,68193) = 21 × 32 × 111 × 10331 × 75771
LCM(68178,68193) = 1549754118