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What is the Least Common Multiple of 84273 and 84290?

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 84273 and 84290 is 7103371170.

LCM(84273,84290) = 7103371170

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Least Common Multiple of 84273 and 84290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84273 and 84290, than apply into the LCM equation.

GCF(84273,84290) = 1
LCM(84273,84290) = ( 84273 × 84290) / 1
LCM(84273,84290) = 7103371170 / 1
LCM(84273,84290) = 7103371170

Least Common Multiple (LCM) of 84273 and 84290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84273 and 84290. First we will calculate the prime factors of 84273 and 84290.

Prime Factorization of 84273

Prime factors of 84273 are 3, 7, 4013. Prime factorization of 84273 in exponential form is:

84273 = 31 × 71 × 40131

Prime Factorization of 84290

Prime factors of 84290 are 2, 5, 8429. Prime factorization of 84290 in exponential form is:

84290 = 21 × 51 × 84291

Now multiplying the highest exponent prime factors to calculate the LCM of 84273 and 84290.

LCM(84273,84290) = 31 × 71 × 40131 × 21 × 51 × 84291
LCM(84273,84290) = 7103371170