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What is the Least Common Multiple of 8263 and 8272?

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 8263 and 8272 is 68351536.

LCM(8263,8272) = 68351536

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Least Common Multiple of 8263 and 8272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8263 and 8272, than apply into the LCM equation.

GCF(8263,8272) = 1
LCM(8263,8272) = ( 8263 × 8272) / 1
LCM(8263,8272) = 68351536 / 1
LCM(8263,8272) = 68351536

Least Common Multiple (LCM) of 8263 and 8272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8263 and 8272. First we will calculate the prime factors of 8263 and 8272.

Prime Factorization of 8263

Prime factors of 8263 are 8263. Prime factorization of 8263 in exponential form is:

8263 = 82631

Prime Factorization of 8272

Prime factors of 8272 are 2, 11, 47. Prime factorization of 8272 in exponential form is:

8272 = 24 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 8263 and 8272.

LCM(8263,8272) = 82631 × 24 × 111 × 471
LCM(8263,8272) = 68351536