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What is the Least Common Multiple of 8248 and 8262?

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 8248 and 8262 is 34072488.

LCM(8248,8262) = 34072488

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Least Common Multiple of 8248 and 8262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8248 and 8262, than apply into the LCM equation.

GCF(8248,8262) = 2
LCM(8248,8262) = ( 8248 × 8262) / 2
LCM(8248,8262) = 68144976 / 2
LCM(8248,8262) = 34072488

Least Common Multiple (LCM) of 8248 and 8262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8248 and 8262. First we will calculate the prime factors of 8248 and 8262.

Prime Factorization of 8248

Prime factors of 8248 are 2, 1031. Prime factorization of 8248 in exponential form is:

8248 = 23 × 10311

Prime Factorization of 8262

Prime factors of 8262 are 2, 3, 17. Prime factorization of 8262 in exponential form is:

8262 = 21 × 35 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 8248 and 8262.

LCM(8248,8262) = 23 × 10311 × 35 × 171
LCM(8248,8262) = 34072488