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What is the Least Common Multiple of 84411 and 84425?

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 84411 and 84425 is 7126398675.

LCM(84411,84425) = 7126398675

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Least Common Multiple of 84411 and 84425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84411 and 84425, than apply into the LCM equation.

GCF(84411,84425) = 1
LCM(84411,84425) = ( 84411 × 84425) / 1
LCM(84411,84425) = 7126398675 / 1
LCM(84411,84425) = 7126398675

Least Common Multiple (LCM) of 84411 and 84425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84411 and 84425. First we will calculate the prime factors of 84411 and 84425.

Prime Factorization of 84411

Prime factors of 84411 are 3, 83, 113. Prime factorization of 84411 in exponential form is:

84411 = 32 × 831 × 1131

Prime Factorization of 84425

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

84425 = 52 × 111 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 84411 and 84425.

LCM(84411,84425) = 32 × 831 × 1131 × 52 × 111 × 3071
LCM(84411,84425) = 7126398675