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What is the Least Common Multiple of 8190 and 8198?

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 8198 is 33570810.

LCM(8190,8198) = 33570810

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Least Common Multiple of 8190 and 8198 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 8198, than apply into the LCM equation.

GCF(8190,8198) = 2
LCM(8190,8198) = ( 8190 × 8198) / 2
LCM(8190,8198) = 67141620 / 2
LCM(8190,8198) = 33570810

Least Common Multiple (LCM) of 8190 and 8198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8190 and 8198. First we will calculate the prime factors of 8190 and 8198.

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 8198

Prime factors of 8198 are 2, 4099. Prime factorization of 8198 in exponential form is:

8198 = 21 × 40991

Now multiplying the highest exponent prime factors to calculate the LCM of 8190 and 8198.

LCM(8190,8198) = 21 × 32 × 51 × 71 × 131 × 40991
LCM(8190,8198) = 33570810