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What is the Least Common Multiple of 13860 and 13879?

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 13860 and 13879 is 192362940.

LCM(13860,13879) = 192362940

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Least Common Multiple of 13860 and 13879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13860 and 13879, than apply into the LCM equation.

GCF(13860,13879) = 1
LCM(13860,13879) = ( 13860 × 13879) / 1
LCM(13860,13879) = 192362940 / 1
LCM(13860,13879) = 192362940

Least Common Multiple (LCM) of 13860 and 13879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13860 and 13879. First we will calculate the prime factors of 13860 and 13879.

Prime Factorization of 13860

Prime factors of 13860 are 2, 3, 5, 7, 11. Prime factorization of 13860 in exponential form is:

13860 = 22 × 32 × 51 × 71 × 111

Prime Factorization of 13879

Prime factors of 13879 are 13879. Prime factorization of 13879 in exponential form is:

13879 = 138791

Now multiplying the highest exponent prime factors to calculate the LCM of 13860 and 13879.

LCM(13860,13879) = 22 × 32 × 51 × 71 × 111 × 138791
LCM(13860,13879) = 192362940