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What is the Least Common Multiple of 10092 and 10098?

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 10092 and 10098 is 16984836.

LCM(10092,10098) = 16984836

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Least Common Multiple of 10092 and 10098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10092 and 10098, than apply into the LCM equation.

GCF(10092,10098) = 6
LCM(10092,10098) = ( 10092 × 10098) / 6
LCM(10092,10098) = 101909016 / 6
LCM(10092,10098) = 16984836

Least Common Multiple (LCM) of 10092 and 10098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10092 and 10098. First we will calculate the prime factors of 10092 and 10098.

Prime Factorization of 10092

Prime factors of 10092 are 2, 3, 29. Prime factorization of 10092 in exponential form is:

10092 = 22 × 31 × 292

Prime Factorization of 10098

Prime factors of 10098 are 2, 3, 11, 17. Prime factorization of 10098 in exponential form is:

10098 = 21 × 33 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 10092 and 10098.

LCM(10092,10098) = 22 × 33 × 292 × 111 × 171
LCM(10092,10098) = 16984836