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What is the Least Common Multiple of 5302 and 5316?

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 5302 and 5316 is 14092716.

LCM(5302,5316) = 14092716

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Least Common Multiple of 5302 and 5316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5302 and 5316, than apply into the LCM equation.

GCF(5302,5316) = 2
LCM(5302,5316) = ( 5302 × 5316) / 2
LCM(5302,5316) = 28185432 / 2
LCM(5302,5316) = 14092716

Least Common Multiple (LCM) of 5302 and 5316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5302 and 5316. First we will calculate the prime factors of 5302 and 5316.

Prime Factorization of 5302

Prime factors of 5302 are 2, 11, 241. Prime factorization of 5302 in exponential form is:

5302 = 21 × 111 × 2411

Prime Factorization of 5316

Prime factors of 5316 are 2, 3, 443. Prime factorization of 5316 in exponential form is:

5316 = 22 × 31 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 5302 and 5316.

LCM(5302,5316) = 22 × 111 × 2411 × 31 × 4431
LCM(5302,5316) = 14092716