What is the Least Common Multiple of 82854 and 82870?

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 82854 and 82870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82854 and 82870, than apply into the LCM equation.

GCF(82854,82870) = 2
LCM(82854,82870) = ( 82854 × 82870) / 2
LCM(82854,82870) = 6866110980 / 2
LCM(82854,82870) = 3433055490

Least Common Multiple (LCM) of 82854 and 82870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82854 and 82870. First we will calculate the prime factors of 82854 and 82870.

Prime Factorization of 82854

Prime Factorization of 82870

Now multiplying the highest exponent prime factors to calculate the LCM of 82854 and 82870.

LCM(82854,82870) = 2¹ × 3² × 4603¹ × 5¹ × 8287¹
LCM(82854,82870) = 3433055490