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What is the Least Common Multiple of 79711 and 79717?

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 79711 and 79717 is 6354321787.

LCM(79711,79717) = 6354321787

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Least Common Multiple of 79711 and 79717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79711 and 79717, than apply into the LCM equation.

GCF(79711,79717) = 1
LCM(79711,79717) = ( 79711 × 79717) / 1
LCM(79711,79717) = 6354321787 / 1
LCM(79711,79717) = 6354321787

Least Common Multiple (LCM) of 79711 and 79717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79711 and 79717. First we will calculate the prime factors of 79711 and 79717.

Prime Factorization of 79711

Prime factors of 79711 are 79, 1009. Prime factorization of 79711 in exponential form is:

79711 = 791 × 10091

Prime Factorization of 79717

Prime factors of 79717 are 11, 7247. Prime factorization of 79717 in exponential form is:

79717 = 111 × 72471

Now multiplying the highest exponent prime factors to calculate the LCM of 79711 and 79717.

LCM(79711,79717) = 791 × 10091 × 111 × 72471
LCM(79711,79717) = 6354321787