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What is the Least Common Multiple of 8202 and 8209?

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 8202 and 8209 is 67330218.

LCM(8202,8209) = 67330218

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Least Common Multiple of 8202 and 8209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8202 and 8209, than apply into the LCM equation.

GCF(8202,8209) = 1
LCM(8202,8209) = ( 8202 × 8209) / 1
LCM(8202,8209) = 67330218 / 1
LCM(8202,8209) = 67330218

Least Common Multiple (LCM) of 8202 and 8209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8202 and 8209. First we will calculate the prime factors of 8202 and 8209.

Prime Factorization of 8202

Prime factors of 8202 are 2, 3, 1367. Prime factorization of 8202 in exponential form is:

8202 = 21 × 31 × 13671

Prime Factorization of 8209

Prime factors of 8209 are 8209. Prime factorization of 8209 in exponential form is:

8209 = 82091

Now multiplying the highest exponent prime factors to calculate the LCM of 8202 and 8209.

LCM(8202,8209) = 21 × 31 × 13671 × 82091
LCM(8202,8209) = 67330218