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What is the Least Common Multiple of 8086 and 8090?

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 8086 and 8090 is 32707870.

LCM(8086,8090) = 32707870

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Least Common Multiple of 8086 and 8090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8086 and 8090, than apply into the LCM equation.

GCF(8086,8090) = 2
LCM(8086,8090) = ( 8086 × 8090) / 2
LCM(8086,8090) = 65415740 / 2
LCM(8086,8090) = 32707870

Least Common Multiple (LCM) of 8086 and 8090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8086 and 8090. First we will calculate the prime factors of 8086 and 8090.

Prime Factorization of 8086

Prime factors of 8086 are 2, 13, 311. Prime factorization of 8086 in exponential form is:

8086 = 21 × 131 × 3111

Prime Factorization of 8090

Prime factors of 8090 are 2, 5, 809. Prime factorization of 8090 in exponential form is:

8090 = 21 × 51 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 8086 and 8090.

LCM(8086,8090) = 21 × 131 × 3111 × 51 × 8091
LCM(8086,8090) = 32707870