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What is the Least Common Multiple of 8285 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 8285 and 8292 is 68699220.

LCM(8285,8292) = 68699220

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Least Common Multiple of 8285 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 8285 and 8292, than apply into the LCM equation.

GCF(8285,8292) = 1
LCM(8285,8292) = ( 8285 × 8292) / 1
LCM(8285,8292) = 68699220 / 1
LCM(8285,8292) = 68699220

Least Common Multiple (LCM) of 8285 and 8292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8285 and 8292. First we will calculate the prime factors of 8285 and 8292.

Prime Factorization of 8285

Prime factors of 8285 are 5, 1657. Prime factorization of 8285 in exponential form is:

8285 = 51 × 16571

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 8285 and 8292.

LCM(8285,8292) = 51 × 16571 × 22 × 31 × 6911
LCM(8285,8292) = 68699220