What is the Least Common Multiple of 26860 and 26875?

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 26860 and 26875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26860 and 26875, than apply into the LCM equation.

GCF(26860,26875) = 5
LCM(26860,26875) = ( 26860 × 26875) / 5
LCM(26860,26875) = 721862500 / 5
LCM(26860,26875) = 144372500

Least Common Multiple (LCM) of 26860 and 26875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26860 and 26875. First we will calculate the prime factors of 26860 and 26875.

Prime Factorization of 26860

Prime Factorization of 26875

Now multiplying the highest exponent prime factors to calculate the LCM of 26860 and 26875.

LCM(26860,26875) = 2² × 5⁴ × 17¹ × 79¹ × 43¹
LCM(26860,26875) = 144372500