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What is the Least Common Multiple of 7359 and 7363?

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 7359 and 7363 is 54184317.

LCM(7359,7363) = 54184317

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Least Common Multiple of 7359 and 7363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7359 and 7363, than apply into the LCM equation.

GCF(7359,7363) = 1
LCM(7359,7363) = ( 7359 × 7363) / 1
LCM(7359,7363) = 54184317 / 1
LCM(7359,7363) = 54184317

Least Common Multiple (LCM) of 7359 and 7363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7359 and 7363. First we will calculate the prime factors of 7359 and 7363.

Prime Factorization of 7359

Prime factors of 7359 are 3, 11, 223. Prime factorization of 7359 in exponential form is:

7359 = 31 × 111 × 2231

Prime Factorization of 7363

Prime factors of 7363 are 37, 199. Prime factorization of 7363 in exponential form is:

7363 = 371 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 7359 and 7363.

LCM(7359,7363) = 31 × 111 × 2231 × 371 × 1991
LCM(7359,7363) = 54184317