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What is the Least Common Multiple of 2263 and 2283?

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 2263 and 2283 is 5166429.

LCM(2263,2283) = 5166429

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Least Common Multiple of 2263 and 2283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2263 and 2283, than apply into the LCM equation.

GCF(2263,2283) = 1
LCM(2263,2283) = ( 2263 × 2283) / 1
LCM(2263,2283) = 5166429 / 1
LCM(2263,2283) = 5166429

Least Common Multiple (LCM) of 2263 and 2283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2263 and 2283. First we will calculate the prime factors of 2263 and 2283.

Prime Factorization of 2263

Prime factors of 2263 are 31, 73. Prime factorization of 2263 in exponential form is:

2263 = 311 × 731

Prime Factorization of 2283

Prime factors of 2283 are 3, 761. Prime factorization of 2283 in exponential form is:

2283 = 31 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 2263 and 2283.

LCM(2263,2283) = 311 × 731 × 31 × 7611
LCM(2263,2283) = 5166429