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What is the Least Common Multiple of 28018 and 28033?

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 28018 and 28033 is 785428594.

LCM(28018,28033) = 785428594

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Least Common Multiple of 28018 and 28033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28018 and 28033, than apply into the LCM equation.

GCF(28018,28033) = 1
LCM(28018,28033) = ( 28018 × 28033) / 1
LCM(28018,28033) = 785428594 / 1
LCM(28018,28033) = 785428594

Least Common Multiple (LCM) of 28018 and 28033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28018 and 28033. First we will calculate the prime factors of 28018 and 28033.

Prime Factorization of 28018

Prime factors of 28018 are 2, 14009. Prime factorization of 28018 in exponential form is:

28018 = 21 × 140091

Prime Factorization of 28033

Prime factors of 28033 are 17, 97. Prime factorization of 28033 in exponential form is:

28033 = 172 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 28018 and 28033.

LCM(28018,28033) = 21 × 140091 × 172 × 971
LCM(28018,28033) = 785428594