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What is the Least Common Multiple of 13830 and 13837?

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 13830 and 13837 is 191365710.

LCM(13830,13837) = 191365710

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Least Common Multiple of 13830 and 13837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13830 and 13837, than apply into the LCM equation.

GCF(13830,13837) = 1
LCM(13830,13837) = ( 13830 × 13837) / 1
LCM(13830,13837) = 191365710 / 1
LCM(13830,13837) = 191365710

Least Common Multiple (LCM) of 13830 and 13837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13830 and 13837. First we will calculate the prime factors of 13830 and 13837.

Prime Factorization of 13830

Prime factors of 13830 are 2, 3, 5, 461. Prime factorization of 13830 in exponential form is:

13830 = 21 × 31 × 51 × 4611

Prime Factorization of 13837

Prime factors of 13837 are 101, 137. Prime factorization of 13837 in exponential form is:

13837 = 1011 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 13830 and 13837.

LCM(13830,13837) = 21 × 31 × 51 × 4611 × 1011 × 1371
LCM(13830,13837) = 191365710