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What is the Least Common Multiple of 2298 and 2315?

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 2298 and 2315 is 5319870.

LCM(2298,2315) = 5319870

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Least Common Multiple of 2298 and 2315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2298 and 2315, than apply into the LCM equation.

GCF(2298,2315) = 1
LCM(2298,2315) = ( 2298 × 2315) / 1
LCM(2298,2315) = 5319870 / 1
LCM(2298,2315) = 5319870

Least Common Multiple (LCM) of 2298 and 2315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2298 and 2315. First we will calculate the prime factors of 2298 and 2315.

Prime Factorization of 2298

Prime factors of 2298 are 2, 3, 383. Prime factorization of 2298 in exponential form is:

2298 = 21 × 31 × 3831

Prime Factorization of 2315

Prime factors of 2315 are 5, 463. Prime factorization of 2315 in exponential form is:

2315 = 51 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 2298 and 2315.

LCM(2298,2315) = 21 × 31 × 3831 × 51 × 4631
LCM(2298,2315) = 5319870