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What is the Least Common Multiple of 18056 and 18060?

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 18056 and 18060 is 81522840.

LCM(18056,18060) = 81522840

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Least Common Multiple of 18056 and 18060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18056 and 18060, than apply into the LCM equation.

GCF(18056,18060) = 4
LCM(18056,18060) = ( 18056 × 18060) / 4
LCM(18056,18060) = 326091360 / 4
LCM(18056,18060) = 81522840

Least Common Multiple (LCM) of 18056 and 18060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18056 and 18060. First we will calculate the prime factors of 18056 and 18060.

Prime Factorization of 18056

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

18056 = 23 × 371 × 611

Prime Factorization of 18060

Prime factors of 18060 are 2, 3, 5, 7, 43. Prime factorization of 18060 in exponential form is:

18060 = 22 × 31 × 51 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 18056 and 18060.

LCM(18056,18060) = 23 × 371 × 611 × 31 × 51 × 71 × 431
LCM(18056,18060) = 81522840