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What is the Least Common Multiple of 2330 and 2345?

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 2330 and 2345 is 1092770.

LCM(2330,2345) = 1092770

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Least Common Multiple of 2330 and 2345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2330 and 2345, than apply into the LCM equation.

GCF(2330,2345) = 5
LCM(2330,2345) = ( 2330 × 2345) / 5
LCM(2330,2345) = 5463850 / 5
LCM(2330,2345) = 1092770

Least Common Multiple (LCM) of 2330 and 2345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2330 and 2345. First we will calculate the prime factors of 2330 and 2345.

Prime Factorization of 2330

Prime factors of 2330 are 2, 5, 233. Prime factorization of 2330 in exponential form is:

2330 = 21 × 51 × 2331

Prime Factorization of 2345

Prime factors of 2345 are 5, 7, 67. Prime factorization of 2345 in exponential form is:

2345 = 51 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 2330 and 2345.

LCM(2330,2345) = 21 × 51 × 2331 × 71 × 671
LCM(2330,2345) = 1092770