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What is the Least Common Multiple of 17820 and 17833?

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 17820 and 17833 is 317784060.

LCM(17820,17833) = 317784060

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Least Common Multiple of 17820 and 17833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17820 and 17833, than apply into the LCM equation.

GCF(17820,17833) = 1
LCM(17820,17833) = ( 17820 × 17833) / 1
LCM(17820,17833) = 317784060 / 1
LCM(17820,17833) = 317784060

Least Common Multiple (LCM) of 17820 and 17833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17820 and 17833. First we will calculate the prime factors of 17820 and 17833.

Prime Factorization of 17820

Prime factors of 17820 are 2, 3, 5, 11. Prime factorization of 17820 in exponential form is:

17820 = 22 × 34 × 51 × 111

Prime Factorization of 17833

Prime factors of 17833 are 17, 1049. Prime factorization of 17833 in exponential form is:

17833 = 171 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 17820 and 17833.

LCM(17820,17833) = 22 × 34 × 51 × 111 × 171 × 10491
LCM(17820,17833) = 317784060