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What is the Least Common Multiple of 2294 and 2306?

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 2294 and 2306 is 2644982.

LCM(2294,2306) = 2644982

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Least Common Multiple of 2294 and 2306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2294 and 2306, than apply into the LCM equation.

GCF(2294,2306) = 2
LCM(2294,2306) = ( 2294 × 2306) / 2
LCM(2294,2306) = 5289964 / 2
LCM(2294,2306) = 2644982

Least Common Multiple (LCM) of 2294 and 2306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2294 and 2306. First we will calculate the prime factors of 2294 and 2306.

Prime Factorization of 2294

Prime factors of 2294 are 2, 31, 37. Prime factorization of 2294 in exponential form is:

2294 = 21 × 311 × 371

Prime Factorization of 2306

Prime factors of 2306 are 2, 1153. Prime factorization of 2306 in exponential form is:

2306 = 21 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 2294 and 2306.

LCM(2294,2306) = 21 × 311 × 371 × 11531
LCM(2294,2306) = 2644982