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What is the Least Common Multiple of 8023 and 8032?

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 8023 and 8032 is 64440736.

LCM(8023,8032) = 64440736

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Least Common Multiple of 8023 and 8032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8023 and 8032, than apply into the LCM equation.

GCF(8023,8032) = 1
LCM(8023,8032) = ( 8023 × 8032) / 1
LCM(8023,8032) = 64440736 / 1
LCM(8023,8032) = 64440736

Least Common Multiple (LCM) of 8023 and 8032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8023 and 8032. First we will calculate the prime factors of 8023 and 8032.

Prime Factorization of 8023

Prime factors of 8023 are 71, 113. Prime factorization of 8023 in exponential form is:

8023 = 711 × 1131

Prime Factorization of 8032

Prime factors of 8032 are 2, 251. Prime factorization of 8032 in exponential form is:

8032 = 25 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 8023 and 8032.

LCM(8023,8032) = 711 × 1131 × 25 × 2511
LCM(8023,8032) = 64440736