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What is the Least Common Multiple of 12854 and 12860?

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 12854 and 12860 is 82651220.

LCM(12854,12860) = 82651220

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Least Common Multiple of 12854 and 12860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12854 and 12860, than apply into the LCM equation.

GCF(12854,12860) = 2
LCM(12854,12860) = ( 12854 × 12860) / 2
LCM(12854,12860) = 165302440 / 2
LCM(12854,12860) = 82651220

Least Common Multiple (LCM) of 12854 and 12860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12854 and 12860. First we will calculate the prime factors of 12854 and 12860.

Prime Factorization of 12854

Prime factors of 12854 are 2, 6427. Prime factorization of 12854 in exponential form is:

12854 = 21 × 64271

Prime Factorization of 12860

Prime factors of 12860 are 2, 5, 643. Prime factorization of 12860 in exponential form is:

12860 = 22 × 51 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 12854 and 12860.

LCM(12854,12860) = 22 × 64271 × 51 × 6431
LCM(12854,12860) = 82651220