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What is the Least Common Multiple of 2260 and 2279?

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 2260 and 2279 is 5150540.

LCM(2260,2279) = 5150540

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Least Common Multiple of 2260 and 2279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2260 and 2279, than apply into the LCM equation.

GCF(2260,2279) = 1
LCM(2260,2279) = ( 2260 × 2279) / 1
LCM(2260,2279) = 5150540 / 1
LCM(2260,2279) = 5150540

Least Common Multiple (LCM) of 2260 and 2279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2260 and 2279. First we will calculate the prime factors of 2260 and 2279.

Prime Factorization of 2260

Prime factors of 2260 are 2, 5, 113. Prime factorization of 2260 in exponential form is:

2260 = 22 × 51 × 1131

Prime Factorization of 2279

Prime factors of 2279 are 43, 53. Prime factorization of 2279 in exponential form is:

2279 = 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 2260 and 2279.

LCM(2260,2279) = 22 × 51 × 1131 × 431 × 531
LCM(2260,2279) = 5150540