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What is the Least Common Multiple of 7304 and 7317?

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 7304 and 7317 is 53443368.

LCM(7304,7317) = 53443368

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Least Common Multiple of 7304 and 7317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7304 and 7317, than apply into the LCM equation.

GCF(7304,7317) = 1
LCM(7304,7317) = ( 7304 × 7317) / 1
LCM(7304,7317) = 53443368 / 1
LCM(7304,7317) = 53443368

Least Common Multiple (LCM) of 7304 and 7317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7304 and 7317. First we will calculate the prime factors of 7304 and 7317.

Prime Factorization of 7304

Prime factors of 7304 are 2, 11, 83. Prime factorization of 7304 in exponential form is:

7304 = 23 × 111 × 831

Prime Factorization of 7317

Prime factors of 7317 are 3, 271. Prime factorization of 7317 in exponential form is:

7317 = 33 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 7304 and 7317.

LCM(7304,7317) = 23 × 111 × 831 × 33 × 2711
LCM(7304,7317) = 53443368