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What is the Least Common Multiple of 8275 and 8292?

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 8275 and 8292 is 68616300.

LCM(8275,8292) = 68616300

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Least Common Multiple of 8275 and 8292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8275 and 8292, than apply into the LCM equation.

GCF(8275,8292) = 1
LCM(8275,8292) = ( 8275 × 8292) / 1
LCM(8275,8292) = 68616300 / 1
LCM(8275,8292) = 68616300

Least Common Multiple (LCM) of 8275 and 8292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8275 and 8292. First we will calculate the prime factors of 8275 and 8292.

Prime Factorization of 8275

Prime factors of 8275 are 5, 331. Prime factorization of 8275 in exponential form is:

8275 = 52 × 3311

Prime Factorization of 8292

Prime factors of 8292 are 2, 3, 691. Prime factorization of 8292 in exponential form is:

8292 = 22 × 31 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 8275 and 8292.

LCM(8275,8292) = 52 × 3311 × 22 × 31 × 6911
LCM(8275,8292) = 68616300