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What is the Least Common Multiple of 18846 and 18860?

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 18846 and 18860 is 177717780.

LCM(18846,18860) = 177717780

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Least Common Multiple of 18846 and 18860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18846 and 18860, than apply into the LCM equation.

GCF(18846,18860) = 2
LCM(18846,18860) = ( 18846 × 18860) / 2
LCM(18846,18860) = 355435560 / 2
LCM(18846,18860) = 177717780

Least Common Multiple (LCM) of 18846 and 18860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18846 and 18860. First we will calculate the prime factors of 18846 and 18860.

Prime Factorization of 18846

Prime factors of 18846 are 2, 3, 349. Prime factorization of 18846 in exponential form is:

18846 = 21 × 33 × 3491

Prime Factorization of 18860

Prime factors of 18860 are 2, 5, 23, 41. Prime factorization of 18860 in exponential form is:

18860 = 22 × 51 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18846 and 18860.

LCM(18846,18860) = 22 × 33 × 3491 × 51 × 231 × 411
LCM(18846,18860) = 177717780