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What is the Least Common Multiple of 4263 and 4267?

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 4263 and 4267 is 18190221.

LCM(4263,4267) = 18190221

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Least Common Multiple of 4263 and 4267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4263 and 4267, than apply into the LCM equation.

GCF(4263,4267) = 1
LCM(4263,4267) = ( 4263 × 4267) / 1
LCM(4263,4267) = 18190221 / 1
LCM(4263,4267) = 18190221

Least Common Multiple (LCM) of 4263 and 4267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4263 and 4267. First we will calculate the prime factors of 4263 and 4267.

Prime Factorization of 4263

Prime factors of 4263 are 3, 7, 29. Prime factorization of 4263 in exponential form is:

4263 = 31 × 72 × 291

Prime Factorization of 4267

Prime factors of 4267 are 17, 251. Prime factorization of 4267 in exponential form is:

4267 = 171 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 4263 and 4267.

LCM(4263,4267) = 31 × 72 × 291 × 171 × 2511
LCM(4263,4267) = 18190221