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What is the Least Common Multiple of 84403 and 84411?

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 84403 and 84411 is 7124541633.

LCM(84403,84411) = 7124541633

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Least Common Multiple of 84403 and 84411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84403 and 84411, than apply into the LCM equation.

GCF(84403,84411) = 1
LCM(84403,84411) = ( 84403 × 84411) / 1
LCM(84403,84411) = 7124541633 / 1
LCM(84403,84411) = 7124541633

Least Common Multiple (LCM) of 84403 and 84411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84403 and 84411. First we will calculate the prime factors of 84403 and 84411.

Prime Factorization of 84403

Prime factors of 84403 are 11, 7673. Prime factorization of 84403 in exponential form is:

84403 = 111 × 76731

Prime Factorization of 84411

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

84411 = 32 × 831 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 84403 and 84411.

LCM(84403,84411) = 111 × 76731 × 32 × 831 × 1131
LCM(84403,84411) = 7124541633