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What is the Least Common Multiple of 7382 and 7391?

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 7382 and 7391 is 54560362.

LCM(7382,7391) = 54560362

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Least Common Multiple of 7382 and 7391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7382 and 7391, than apply into the LCM equation.

GCF(7382,7391) = 1
LCM(7382,7391) = ( 7382 × 7391) / 1
LCM(7382,7391) = 54560362 / 1
LCM(7382,7391) = 54560362

Least Common Multiple (LCM) of 7382 and 7391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7382 and 7391. First we will calculate the prime factors of 7382 and 7391.

Prime Factorization of 7382

Prime factors of 7382 are 2, 3691. Prime factorization of 7382 in exponential form is:

7382 = 21 × 36911

Prime Factorization of 7391

Prime factors of 7391 are 19, 389. Prime factorization of 7391 in exponential form is:

7391 = 191 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 7382 and 7391.

LCM(7382,7391) = 21 × 36911 × 191 × 3891
LCM(7382,7391) = 54560362