What is the Least Common Multiple of 10854 and 10870?

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 10870 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 10870, than apply into the LCM equation.

GCF(10854,10870) = 2
LCM(10854,10870) = ( 10854 × 10870) / 2
LCM(10854,10870) = 117982980 / 2
LCM(10854,10870) = 58991490

Least Common Multiple (LCM) of 10854 and 10870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10854 and 10870. First we will calculate the prime factors of 10854 and 10870.

Prime Factorization of 10854

Prime Factorization of 10870

Now multiplying the highest exponent prime factors to calculate the LCM of 10854 and 10870.

LCM(10854,10870) = 2¹ × 3⁴ × 67¹ × 5¹ × 1087¹
LCM(10854,10870) = 58991490