What is the Least Common Multiple of 10854 and 10868?

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 of 10854 and 10868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10854 and 10868, than apply into the LCM equation.

GCF(10854,10868) = 2
LCM(10854,10868) = ( 10854 × 10868) / 2
LCM(10854,10868) = 117961272 / 2
LCM(10854,10868) = 58980636

Least Common Multiple (LCM) of 10854 and 10868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10854 and 10868. First we will calculate the prime factors of 10854 and 10868.

Prime Factorization of 10854

Prime Factorization of 10868

Now multiplying the highest exponent prime factors to calculate the LCM of 10854 and 10868.

LCM(10854,10868) = 2² × 3⁴ × 67¹ × 11¹ × 13¹ × 19¹
LCM(10854,10868) = 58980636