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What is the Least Common Multiple of 84417 and 84434?

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 84417 and 84434 is 7127664978.

LCM(84417,84434) = 7127664978

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Least Common Multiple of 84417 and 84434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84417 and 84434, than apply into the LCM equation.

GCF(84417,84434) = 1
LCM(84417,84434) = ( 84417 × 84434) / 1
LCM(84417,84434) = 7127664978 / 1
LCM(84417,84434) = 7127664978

Least Common Multiple (LCM) of 84417 and 84434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84417 and 84434. First we will calculate the prime factors of 84417 and 84434.

Prime Factorization of 84417

Prime factors of 84417 are 3, 19, 1481. Prime factorization of 84417 in exponential form is:

84417 = 31 × 191 × 14811

Prime Factorization of 84434

Prime factors of 84434 are 2, 7, 37, 163. Prime factorization of 84434 in exponential form is:

84434 = 21 × 71 × 371 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 84417 and 84434.

LCM(84417,84434) = 31 × 191 × 14811 × 21 × 71 × 371 × 1631
LCM(84417,84434) = 7127664978