GCF and LCM Calculator Logo

What is the Least Common Multiple of 6843 and 6860?

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 6843 and 6860 is 46942980.

LCM(6843,6860) = 46942980

LCM Calculator and
and

Least Common Multiple of 6843 and 6860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6843 and 6860, than apply into the LCM equation.

GCF(6843,6860) = 1
LCM(6843,6860) = ( 6843 × 6860) / 1
LCM(6843,6860) = 46942980 / 1
LCM(6843,6860) = 46942980

Least Common Multiple (LCM) of 6843 and 6860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6843 and 6860. First we will calculate the prime factors of 6843 and 6860.

Prime Factorization of 6843

Prime factors of 6843 are 3, 2281. Prime factorization of 6843 in exponential form is:

6843 = 31 × 22811

Prime Factorization of 6860

Prime factors of 6860 are 2, 5, 7. Prime factorization of 6860 in exponential form is:

6860 = 22 × 51 × 73

Now multiplying the highest exponent prime factors to calculate the LCM of 6843 and 6860.

LCM(6843,6860) = 31 × 22811 × 22 × 51 × 73
LCM(6843,6860) = 46942980