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What is the Least Common Multiple of 8092 and 8096?

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 8092 and 8096 is 16378208.

LCM(8092,8096) = 16378208

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Least Common Multiple of 8092 and 8096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8092 and 8096, than apply into the LCM equation.

GCF(8092,8096) = 4
LCM(8092,8096) = ( 8092 × 8096) / 4
LCM(8092,8096) = 65512832 / 4
LCM(8092,8096) = 16378208

Least Common Multiple (LCM) of 8092 and 8096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8092 and 8096. First we will calculate the prime factors of 8092 and 8096.

Prime Factorization of 8092

Prime factors of 8092 are 2, 7, 17. Prime factorization of 8092 in exponential form is:

8092 = 22 × 71 × 172

Prime Factorization of 8096

Prime factors of 8096 are 2, 11, 23. Prime factorization of 8096 in exponential form is:

8096 = 25 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 8092 and 8096.

LCM(8092,8096) = 25 × 71 × 172 × 111 × 231
LCM(8092,8096) = 16378208