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What is the Least Common Multiple of 68243 and 68260?

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 68243 and 68260 is 4658267180.

LCM(68243,68260) = 4658267180

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Least Common Multiple of 68243 and 68260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68243 and 68260, than apply into the LCM equation.

GCF(68243,68260) = 1
LCM(68243,68260) = ( 68243 × 68260) / 1
LCM(68243,68260) = 4658267180 / 1
LCM(68243,68260) = 4658267180

Least Common Multiple (LCM) of 68243 and 68260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68243 and 68260. First we will calculate the prime factors of 68243 and 68260.

Prime Factorization of 68243

Prime factors of 68243 are 7, 9749. Prime factorization of 68243 in exponential form is:

68243 = 71 × 97491

Prime Factorization of 68260

Prime factors of 68260 are 2, 5, 3413. Prime factorization of 68260 in exponential form is:

68260 = 22 × 51 × 34131

Now multiplying the highest exponent prime factors to calculate the LCM of 68243 and 68260.

LCM(68243,68260) = 71 × 97491 × 22 × 51 × 34131
LCM(68243,68260) = 4658267180