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What is the Least Common Multiple of 68178 and 68196?

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 68196 is 774911148.

LCM(68178,68196) = 774911148

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Least Common Multiple of 68178 and 68196 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 68196, than apply into the LCM equation.

GCF(68178,68196) = 6
LCM(68178,68196) = ( 68178 × 68196) / 6
LCM(68178,68196) = 4649466888 / 6
LCM(68178,68196) = 774911148

Least Common Multiple (LCM) of 68178 and 68196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68178 and 68196. First we will calculate the prime factors of 68178 and 68196.

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 68196

Prime factors of 68196 are 2, 3, 5683. Prime factorization of 68196 in exponential form is:

68196 = 22 × 31 × 56831

Now multiplying the highest exponent prime factors to calculate the LCM of 68178 and 68196.

LCM(68178,68196) = 22 × 31 × 111 × 10331 × 56831
LCM(68178,68196) = 774911148