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What is the Least Common Multiple of 84713 and 84718?

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 84713 and 84718 is 7176715934.

LCM(84713,84718) = 7176715934

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Least Common Multiple of 84713 and 84718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84713 and 84718, than apply into the LCM equation.

GCF(84713,84718) = 1
LCM(84713,84718) = ( 84713 × 84718) / 1
LCM(84713,84718) = 7176715934 / 1
LCM(84713,84718) = 7176715934

Least Common Multiple (LCM) of 84713 and 84718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84713 and 84718. First we will calculate the prime factors of 84713 and 84718.

Prime Factorization of 84713

Prime factors of 84713 are 84713. Prime factorization of 84713 in exponential form is:

84713 = 847131

Prime Factorization of 84718

Prime factors of 84718 are 2, 42359. Prime factorization of 84718 in exponential form is:

84718 = 21 × 423591

Now multiplying the highest exponent prime factors to calculate the LCM of 84713 and 84718.

LCM(84713,84718) = 847131 × 21 × 423591
LCM(84713,84718) = 7176715934