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What is the Least Common Multiple of 7372 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 7372 and 7391 is 2867708.

LCM(7372,7391) = 2867708

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Least Common Multiple of 7372 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 7372 and 7391, than apply into the LCM equation.

GCF(7372,7391) = 19
LCM(7372,7391) = ( 7372 × 7391) / 19
LCM(7372,7391) = 54486452 / 19
LCM(7372,7391) = 2867708

Least Common Multiple (LCM) of 7372 and 7391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7372 and 7391. First we will calculate the prime factors of 7372 and 7391.

Prime Factorization of 7372

Prime factors of 7372 are 2, 19, 97. Prime factorization of 7372 in exponential form is:

7372 = 22 × 191 × 971

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 7372 and 7391.

LCM(7372,7391) = 22 × 191 × 971 × 3891
LCM(7372,7391) = 2867708