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What is the Least Common Multiple of 18830 and 18848?

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 18830 and 18848 is 177453920.

LCM(18830,18848) = 177453920

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Least Common Multiple of 18830 and 18848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18830 and 18848, than apply into the LCM equation.

GCF(18830,18848) = 2
LCM(18830,18848) = ( 18830 × 18848) / 2
LCM(18830,18848) = 354907840 / 2
LCM(18830,18848) = 177453920

Least Common Multiple (LCM) of 18830 and 18848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18830 and 18848. First we will calculate the prime factors of 18830 and 18848.

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

Prime Factorization of 18848

Prime factors of 18848 are 2, 19, 31. Prime factorization of 18848 in exponential form is:

18848 = 25 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 18830 and 18848.

LCM(18830,18848) = 25 × 51 × 71 × 2691 × 191 × 311
LCM(18830,18848) = 177453920