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What is the Least Common Multiple of 18840 and 18853?

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 18840 and 18853 is 355190520.

LCM(18840,18853) = 355190520

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Least Common Multiple of 18840 and 18853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18840 and 18853, than apply into the LCM equation.

GCF(18840,18853) = 1
LCM(18840,18853) = ( 18840 × 18853) / 1
LCM(18840,18853) = 355190520 / 1
LCM(18840,18853) = 355190520

Least Common Multiple (LCM) of 18840 and 18853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18840 and 18853. First we will calculate the prime factors of 18840 and 18853.

Prime Factorization of 18840

Prime factors of 18840 are 2, 3, 5, 157. Prime factorization of 18840 in exponential form is:

18840 = 23 × 31 × 51 × 1571

Prime Factorization of 18853

Prime factors of 18853 are 17, 1109. Prime factorization of 18853 in exponential form is:

18853 = 171 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 18840 and 18853.

LCM(18840,18853) = 23 × 31 × 51 × 1571 × 171 × 11091
LCM(18840,18853) = 355190520