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What is the Least Common Multiple of 8259 and 8263?

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 8259 and 8263 is 68244117.

LCM(8259,8263) = 68244117

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Least Common Multiple of 8259 and 8263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8259 and 8263, than apply into the LCM equation.

GCF(8259,8263) = 1
LCM(8259,8263) = ( 8259 × 8263) / 1
LCM(8259,8263) = 68244117 / 1
LCM(8259,8263) = 68244117

Least Common Multiple (LCM) of 8259 and 8263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8259 and 8263. First we will calculate the prime factors of 8259 and 8263.

Prime Factorization of 8259

Prime factors of 8259 are 3, 2753. Prime factorization of 8259 in exponential form is:

8259 = 31 × 27531

Prime Factorization of 8263

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

8263 = 82631

Now multiplying the highest exponent prime factors to calculate the LCM of 8259 and 8263.

LCM(8259,8263) = 31 × 27531 × 82631
LCM(8259,8263) = 68244117