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What is the Least Common Multiple of 2382 and 2401?

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 2382 and 2401 is 5719182.

LCM(2382,2401) = 5719182

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Least Common Multiple of 2382 and 2401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2382 and 2401, than apply into the LCM equation.

GCF(2382,2401) = 1
LCM(2382,2401) = ( 2382 × 2401) / 1
LCM(2382,2401) = 5719182 / 1
LCM(2382,2401) = 5719182

Least Common Multiple (LCM) of 2382 and 2401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2382 and 2401. First we will calculate the prime factors of 2382 and 2401.

Prime Factorization of 2382

Prime factors of 2382 are 2, 3, 397. Prime factorization of 2382 in exponential form is:

2382 = 21 × 31 × 3971

Prime Factorization of 2401

Prime factors of 2401 are 7. Prime factorization of 2401 in exponential form is:

2401 = 74

Now multiplying the highest exponent prime factors to calculate the LCM of 2382 and 2401.

LCM(2382,2401) = 21 × 31 × 3971 × 74
LCM(2382,2401) = 5719182