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What is the Least Common Multiple of 68251 and 68264?

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 68251 and 68264 is 4659086264.

LCM(68251,68264) = 4659086264

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Least Common Multiple of 68251 and 68264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68251 and 68264, than apply into the LCM equation.

GCF(68251,68264) = 1
LCM(68251,68264) = ( 68251 × 68264) / 1
LCM(68251,68264) = 4659086264 / 1
LCM(68251,68264) = 4659086264

Least Common Multiple (LCM) of 68251 and 68264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68251 and 68264. First we will calculate the prime factors of 68251 and 68264.

Prime Factorization of 68251

Prime factors of 68251 are 131, 521. Prime factorization of 68251 in exponential form is:

68251 = 1311 × 5211

Prime Factorization of 68264

Prime factors of 68264 are 2, 7, 23, 53. Prime factorization of 68264 in exponential form is:

68264 = 23 × 71 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 68251 and 68264.

LCM(68251,68264) = 1311 × 5211 × 23 × 71 × 231 × 531
LCM(68251,68264) = 4659086264