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What is the Least Common Multiple of 84368 and 84381?

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 84368 and 84381 is 7119056208.

LCM(84368,84381) = 7119056208

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Least Common Multiple of 84368 and 84381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84368 and 84381, than apply into the LCM equation.

GCF(84368,84381) = 1
LCM(84368,84381) = ( 84368 × 84381) / 1
LCM(84368,84381) = 7119056208 / 1
LCM(84368,84381) = 7119056208

Least Common Multiple (LCM) of 84368 and 84381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84368 and 84381. First we will calculate the prime factors of 84368 and 84381.

Prime Factorization of 84368

Prime factors of 84368 are 2, 5273. Prime factorization of 84368 in exponential form is:

84368 = 24 × 52731

Prime Factorization of 84381

Prime factors of 84381 are 3, 11, 2557. Prime factorization of 84381 in exponential form is:

84381 = 31 × 111 × 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 84368 and 84381.

LCM(84368,84381) = 24 × 52731 × 31 × 111 × 25571
LCM(84368,84381) = 7119056208