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What is the Least Common Multiple of 7291 and 7303?

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 7291 and 7303 is 53246173.

LCM(7291,7303) = 53246173

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Least Common Multiple of 7291 and 7303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7291 and 7303, than apply into the LCM equation.

GCF(7291,7303) = 1
LCM(7291,7303) = ( 7291 × 7303) / 1
LCM(7291,7303) = 53246173 / 1
LCM(7291,7303) = 53246173

Least Common Multiple (LCM) of 7291 and 7303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7291 and 7303. First we will calculate the prime factors of 7291 and 7303.

Prime Factorization of 7291

Prime factors of 7291 are 23, 317. Prime factorization of 7291 in exponential form is:

7291 = 231 × 3171

Prime Factorization of 7303

Prime factors of 7303 are 67, 109. Prime factorization of 7303 in exponential form is:

7303 = 671 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7291 and 7303.

LCM(7291,7303) = 231 × 3171 × 671 × 1091
LCM(7291,7303) = 53246173