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What is the Least Common Multiple of 2280 and 2297?

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 2280 and 2297 is 5237160.

LCM(2280,2297) = 5237160

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Least Common Multiple of 2280 and 2297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2280 and 2297, than apply into the LCM equation.

GCF(2280,2297) = 1
LCM(2280,2297) = ( 2280 × 2297) / 1
LCM(2280,2297) = 5237160 / 1
LCM(2280,2297) = 5237160

Least Common Multiple (LCM) of 2280 and 2297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2280 and 2297. First we will calculate the prime factors of 2280 and 2297.

Prime Factorization of 2280

Prime factors of 2280 are 2, 3, 5, 19. Prime factorization of 2280 in exponential form is:

2280 = 23 × 31 × 51 × 191

Prime Factorization of 2297

Prime factors of 2297 are 2297. Prime factorization of 2297 in exponential form is:

2297 = 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 2280 and 2297.

LCM(2280,2297) = 23 × 31 × 51 × 191 × 22971
LCM(2280,2297) = 5237160