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What is the Least Common Multiple of 79333 and 79351?

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 79333 and 79351 is 6295152883.

LCM(79333,79351) = 6295152883

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Least Common Multiple of 79333 and 79351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79333 and 79351, than apply into the LCM equation.

GCF(79333,79351) = 1
LCM(79333,79351) = ( 79333 × 79351) / 1
LCM(79333,79351) = 6295152883 / 1
LCM(79333,79351) = 6295152883

Least Common Multiple (LCM) of 79333 and 79351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79333 and 79351. First we will calculate the prime factors of 79333 and 79351.

Prime Factorization of 79333

Prime factors of 79333 are 79333. Prime factorization of 79333 in exponential form is:

79333 = 793331

Prime Factorization of 79351

Prime factors of 79351 are 73, 1087. Prime factorization of 79351 in exponential form is:

79351 = 731 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 79333 and 79351.

LCM(79333,79351) = 793331 × 731 × 10871
LCM(79333,79351) = 6295152883