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What is the Least Common Multiple of 84627 and 84634?

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 84627 and 84634 is 7162321518.

LCM(84627,84634) = 7162321518

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Least Common Multiple of 84627 and 84634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84627 and 84634, than apply into the LCM equation.

GCF(84627,84634) = 1
LCM(84627,84634) = ( 84627 × 84634) / 1
LCM(84627,84634) = 7162321518 / 1
LCM(84627,84634) = 7162321518

Least Common Multiple (LCM) of 84627 and 84634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84627 and 84634. First we will calculate the prime factors of 84627 and 84634.

Prime Factorization of 84627

Prime factors of 84627 are 3, 9403. Prime factorization of 84627 in exponential form is:

84627 = 32 × 94031

Prime Factorization of 84634

Prime factors of 84634 are 2, 11, 3847. Prime factorization of 84634 in exponential form is:

84634 = 21 × 111 × 38471

Now multiplying the highest exponent prime factors to calculate the LCM of 84627 and 84634.

LCM(84627,84634) = 32 × 94031 × 21 × 111 × 38471
LCM(84627,84634) = 7162321518