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What is the Least Common Multiple of 8190 and 8207?

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 8190 and 8207 is 67215330.

LCM(8190,8207) = 67215330

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Least Common Multiple of 8190 and 8207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8190 and 8207, than apply into the LCM equation.

GCF(8190,8207) = 1
LCM(8190,8207) = ( 8190 × 8207) / 1
LCM(8190,8207) = 67215330 / 1
LCM(8190,8207) = 67215330

Least Common Multiple (LCM) of 8190 and 8207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8190 and 8207. First we will calculate the prime factors of 8190 and 8207.

Prime Factorization of 8190

Prime factors of 8190 are 2, 3, 5, 7, 13. Prime factorization of 8190 in exponential form is:

8190 = 21 × 32 × 51 × 71 × 131

Prime Factorization of 8207

Prime factors of 8207 are 29, 283. Prime factorization of 8207 in exponential form is:

8207 = 291 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 8190 and 8207.

LCM(8190,8207) = 21 × 32 × 51 × 71 × 131 × 291 × 2831
LCM(8190,8207) = 67215330