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What is the Least Common Multiple of 8037 and 8056?

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 8037 and 8056 is 3407688.

LCM(8037,8056) = 3407688

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Least Common Multiple of 8037 and 8056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8037 and 8056, than apply into the LCM equation.

GCF(8037,8056) = 19
LCM(8037,8056) = ( 8037 × 8056) / 19
LCM(8037,8056) = 64746072 / 19
LCM(8037,8056) = 3407688

Least Common Multiple (LCM) of 8037 and 8056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8037 and 8056. First we will calculate the prime factors of 8037 and 8056.

Prime Factorization of 8037

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

8037 = 32 × 191 × 471

Prime Factorization of 8056

Prime factors of 8056 are 2, 19, 53. Prime factorization of 8056 in exponential form is:

8056 = 23 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8037 and 8056.

LCM(8037,8056) = 32 × 191 × 471 × 23 × 531
LCM(8037,8056) = 3407688