GCF and LCM Calculator Logo

What is the Least Common Multiple of 860 and 867?

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 860 and 867 is 745620.

LCM(860,867) = 745620

LCM Calculator and
and

Least Common Multiple of 860 and 867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 860 and 867, than apply into the LCM equation.

GCF(860,867) = 1
LCM(860,867) = ( 860 × 867) / 1
LCM(860,867) = 745620 / 1
LCM(860,867) = 745620

Least Common Multiple (LCM) of 860 and 867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 860 and 867. First we will calculate the prime factors of 860 and 867.

Prime Factorization of 860

Prime factors of 860 are 2, 5, 43. Prime factorization of 860 in exponential form is:

860 = 22 × 51 × 431

Prime Factorization of 867

Prime factors of 867 are 3, 17. Prime factorization of 867 in exponential form is:

867 = 31 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 860 and 867.

LCM(860,867) = 22 × 51 × 431 × 31 × 172
LCM(860,867) = 745620