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What is the Least Common Multiple of 18036 and 18056?

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 18036 and 18056 is 81414504.

LCM(18036,18056) = 81414504

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Least Common Multiple of 18036 and 18056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18036 and 18056, than apply into the LCM equation.

GCF(18036,18056) = 4
LCM(18036,18056) = ( 18036 × 18056) / 4
LCM(18036,18056) = 325658016 / 4
LCM(18036,18056) = 81414504

Least Common Multiple (LCM) of 18036 and 18056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18036 and 18056. First we will calculate the prime factors of 18036 and 18056.

Prime Factorization of 18036

Prime factors of 18036 are 2, 3, 167. Prime factorization of 18036 in exponential form is:

18036 = 22 × 33 × 1671

Prime Factorization of 18056

Prime factors of 18056 are 2, 37, 61. Prime factorization of 18056 in exponential form is:

18056 = 23 × 371 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 18036 and 18056.

LCM(18036,18056) = 23 × 33 × 1671 × 371 × 611
LCM(18036,18056) = 81414504