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What is the Least Common Multiple of 68259 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 68259 and 68264 is 4659632376.

LCM(68259,68264) = 4659632376

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Least Common Multiple of 68259 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 68259 and 68264, than apply into the LCM equation.

GCF(68259,68264) = 1
LCM(68259,68264) = ( 68259 × 68264) / 1
LCM(68259,68264) = 4659632376 / 1
LCM(68259,68264) = 4659632376

Least Common Multiple (LCM) of 68259 and 68264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68259 and 68264. First we will calculate the prime factors of 68259 and 68264.

Prime Factorization of 68259

Prime factors of 68259 are 3, 61, 373. Prime factorization of 68259 in exponential form is:

68259 = 31 × 611 × 3731

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 68259 and 68264.

LCM(68259,68264) = 31 × 611 × 3731 × 23 × 71 × 231 × 531
LCM(68259,68264) = 4659632376