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What is the Least Common Multiple of 84035 and 84046?

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 84035 and 84046 is 7062805610.

LCM(84035,84046) = 7062805610

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Least Common Multiple of 84035 and 84046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84035 and 84046, than apply into the LCM equation.

GCF(84035,84046) = 1
LCM(84035,84046) = ( 84035 × 84046) / 1
LCM(84035,84046) = 7062805610 / 1
LCM(84035,84046) = 7062805610

Least Common Multiple (LCM) of 84035 and 84046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84035 and 84046. First we will calculate the prime factors of 84035 and 84046.

Prime Factorization of 84035

Prime factors of 84035 are 5, 7. Prime factorization of 84035 in exponential form is:

84035 = 51 × 75

Prime Factorization of 84046

Prime factors of 84046 are 2, 42023. Prime factorization of 84046 in exponential form is:

84046 = 21 × 420231

Now multiplying the highest exponent prime factors to calculate the LCM of 84035 and 84046.

LCM(84035,84046) = 51 × 75 × 21 × 420231
LCM(84035,84046) = 7062805610