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What is the Least Common Multiple of 84027 and 84040?

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 84027 and 84040 is 7061629080.

LCM(84027,84040) = 7061629080

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Least Common Multiple of 84027 and 84040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84027 and 84040, than apply into the LCM equation.

GCF(84027,84040) = 1
LCM(84027,84040) = ( 84027 × 84040) / 1
LCM(84027,84040) = 7061629080 / 1
LCM(84027,84040) = 7061629080

Least Common Multiple (LCM) of 84027 and 84040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84027 and 84040. First we will calculate the prime factors of 84027 and 84040.

Prime Factorization of 84027

Prime factors of 84027 are 3, 37, 757. Prime factorization of 84027 in exponential form is:

84027 = 31 × 371 × 7571

Prime Factorization of 84040

Prime factors of 84040 are 2, 5, 11, 191. Prime factorization of 84040 in exponential form is:

84040 = 23 × 51 × 111 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 84027 and 84040.

LCM(84027,84040) = 31 × 371 × 7571 × 23 × 51 × 111 × 1911
LCM(84027,84040) = 7061629080