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What is the Least Common Multiple of 67382 and 67402?

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 67382 and 67402 is 2270840782.

LCM(67382,67402) = 2270840782

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Least Common Multiple of 67382 and 67402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67382 and 67402, than apply into the LCM equation.

GCF(67382,67402) = 2
LCM(67382,67402) = ( 67382 × 67402) / 2
LCM(67382,67402) = 4541681564 / 2
LCM(67382,67402) = 2270840782

Least Common Multiple (LCM) of 67382 and 67402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67382 and 67402. First we will calculate the prime factors of 67382 and 67402.

Prime Factorization of 67382

Prime factors of 67382 are 2, 7, 4813. Prime factorization of 67382 in exponential form is:

67382 = 21 × 71 × 48131

Prime Factorization of 67402

Prime factors of 67402 are 2, 67, 503. Prime factorization of 67402 in exponential form is:

67402 = 21 × 671 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 67382 and 67402.

LCM(67382,67402) = 21 × 71 × 48131 × 671 × 5031
LCM(67382,67402) = 2270840782