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What is the Least Common Multiple of 18822 and 18830?

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 18822 and 18830 is 177209130.

LCM(18822,18830) = 177209130

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Least Common Multiple of 18822 and 18830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18822 and 18830, than apply into the LCM equation.

GCF(18822,18830) = 2
LCM(18822,18830) = ( 18822 × 18830) / 2
LCM(18822,18830) = 354418260 / 2
LCM(18822,18830) = 177209130

Least Common Multiple (LCM) of 18822 and 18830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18822 and 18830. First we will calculate the prime factors of 18822 and 18830.

Prime Factorization of 18822

Prime factors of 18822 are 2, 3, 3137. Prime factorization of 18822 in exponential form is:

18822 = 21 × 31 × 31371

Prime Factorization of 18830

Prime factors of 18830 are 2, 5, 7, 269. Prime factorization of 18830 in exponential form is:

18830 = 21 × 51 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 18822 and 18830.

LCM(18822,18830) = 21 × 31 × 31371 × 51 × 71 × 2691
LCM(18822,18830) = 177209130