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What is the Least Common Multiple of 8022 and 8037?

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 8022 and 8037 is 21490938.

LCM(8022,8037) = 21490938

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Least Common Multiple of 8022 and 8037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8022 and 8037, than apply into the LCM equation.

GCF(8022,8037) = 3
LCM(8022,8037) = ( 8022 × 8037) / 3
LCM(8022,8037) = 64472814 / 3
LCM(8022,8037) = 21490938

Least Common Multiple (LCM) of 8022 and 8037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8022 and 8037. First we will calculate the prime factors of 8022 and 8037.

Prime Factorization of 8022

Prime factors of 8022 are 2, 3, 7, 191. Prime factorization of 8022 in exponential form is:

8022 = 21 × 31 × 71 × 1911

Prime Factorization of 8037

Prime factors of 8037 are 3, 19, 47. Prime factorization of 8037 in exponential form is:

8037 = 32 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 8022 and 8037.

LCM(8022,8037) = 21 × 32 × 71 × 1911 × 191 × 471
LCM(8022,8037) = 21490938