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What is the Least Common Multiple of 84067 and 84087?

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 84067 and 84087 is 7068941829.

LCM(84067,84087) = 7068941829

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Least Common Multiple of 84067 and 84087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84067 and 84087, than apply into the LCM equation.

GCF(84067,84087) = 1
LCM(84067,84087) = ( 84067 × 84087) / 1
LCM(84067,84087) = 7068941829 / 1
LCM(84067,84087) = 7068941829

Least Common Multiple (LCM) of 84067 and 84087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84067 and 84087. First we will calculate the prime factors of 84067 and 84087.

Prime Factorization of 84067

Prime factors of 84067 are 84067. Prime factorization of 84067 in exponential form is:

84067 = 840671

Prime Factorization of 84087

Prime factors of 84087 are 3, 9343. Prime factorization of 84087 in exponential form is:

84087 = 32 × 93431

Now multiplying the highest exponent prime factors to calculate the LCM of 84067 and 84087.

LCM(84067,84087) = 840671 × 32 × 93431
LCM(84067,84087) = 7068941829