What is the Least Common Multiple of 10854 and 10863?

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 10863 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 10863, than apply into the LCM equation.

GCF(10854,10863) = 9
LCM(10854,10863) = ( 10854 × 10863) / 9
LCM(10854,10863) = 117907002 / 9
LCM(10854,10863) = 13100778

Least Common Multiple (LCM) of 10854 and 10863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10854 and 10863. First we will calculate the prime factors of 10854 and 10863.

Prime Factorization of 10854

Prime Factorization of 10863

Now multiplying the highest exponent prime factors to calculate the LCM of 10854 and 10863.

LCM(10854,10863) = 2¹ × 3⁴ × 67¹ × 17¹ × 71¹
LCM(10854,10863) = 13100778