What is the Least Common Multiple of 26865 and 26870?

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 26865 and 26870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26865 and 26870, than apply into the LCM equation.

GCF(26865,26870) = 5
LCM(26865,26870) = ( 26865 × 26870) / 5
LCM(26865,26870) = 721862550 / 5
LCM(26865,26870) = 144372510

Least Common Multiple (LCM) of 26865 and 26870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26865 and 26870. First we will calculate the prime factors of 26865 and 26870.

Prime Factorization of 26865

Prime Factorization of 26870

Now multiplying the highest exponent prime factors to calculate the LCM of 26865 and 26870.

LCM(26865,26870) = 3³ × 5¹ × 199¹ × 2¹ × 2687¹
LCM(26865,26870) = 144372510