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What is the Least Common Multiple of 83233 and 83247?

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 83233 and 83247 is 6928897551.

LCM(83233,83247) = 6928897551

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Least Common Multiple of 83233 and 83247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83233 and 83247, than apply into the LCM equation.

GCF(83233,83247) = 1
LCM(83233,83247) = ( 83233 × 83247) / 1
LCM(83233,83247) = 6928897551 / 1
LCM(83233,83247) = 6928897551

Least Common Multiple (LCM) of 83233 and 83247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83233 and 83247. First we will calculate the prime factors of 83233 and 83247.

Prime Factorization of 83233

Prime factors of 83233 are 83233. Prime factorization of 83233 in exponential form is:

83233 = 832331

Prime Factorization of 83247

Prime factors of 83247 are 3, 27749. Prime factorization of 83247 in exponential form is:

83247 = 31 × 277491

Now multiplying the highest exponent prime factors to calculate the LCM of 83233 and 83247.

LCM(83233,83247) = 832331 × 31 × 277491
LCM(83233,83247) = 6928897551