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What is the Least Common Multiple of 84425 and 84441?

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 84425 and 84441 is 7128931425.

LCM(84425,84441) = 7128931425

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Least Common Multiple of 84425 and 84441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84425 and 84441, than apply into the LCM equation.

GCF(84425,84441) = 1
LCM(84425,84441) = ( 84425 × 84441) / 1
LCM(84425,84441) = 7128931425 / 1
LCM(84425,84441) = 7128931425

Least Common Multiple (LCM) of 84425 and 84441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84425 and 84441. First we will calculate the prime factors of 84425 and 84441.

Prime Factorization of 84425

Prime factors of 84425 are 5, 11, 307. Prime factorization of 84425 in exponential form is:

84425 = 52 × 111 × 3071

Prime Factorization of 84441

Prime factors of 84441 are 3, 7, 4021. Prime factorization of 84441 in exponential form is:

84441 = 31 × 71 × 40211

Now multiplying the highest exponent prime factors to calculate the LCM of 84425 and 84441.

LCM(84425,84441) = 52 × 111 × 3071 × 31 × 71 × 40211
LCM(84425,84441) = 7128931425