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What is the Least Common Multiple of 7327 and 7340?

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 7327 and 7340 is 53780180.

LCM(7327,7340) = 53780180

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Least Common Multiple of 7327 and 7340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7327 and 7340, than apply into the LCM equation.

GCF(7327,7340) = 1
LCM(7327,7340) = ( 7327 × 7340) / 1
LCM(7327,7340) = 53780180 / 1
LCM(7327,7340) = 53780180

Least Common Multiple (LCM) of 7327 and 7340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7327 and 7340. First we will calculate the prime factors of 7327 and 7340.

Prime Factorization of 7327

Prime factors of 7327 are 17, 431. Prime factorization of 7327 in exponential form is:

7327 = 171 × 4311

Prime Factorization of 7340

Prime factors of 7340 are 2, 5, 367. Prime factorization of 7340 in exponential form is:

7340 = 22 × 51 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 7327 and 7340.

LCM(7327,7340) = 171 × 4311 × 22 × 51 × 3671
LCM(7327,7340) = 53780180