What is the Least Common Multiple of 26854 and 26860?

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 26854 and 26860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26854 and 26860, than apply into the LCM equation.

GCF(26854,26860) = 2
LCM(26854,26860) = ( 26854 × 26860) / 2
LCM(26854,26860) = 721298440 / 2
LCM(26854,26860) = 360649220

Least Common Multiple (LCM) of 26854 and 26860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26854 and 26860. First we will calculate the prime factors of 26854 and 26860.

Prime Factorization of 26854

Prime Factorization of 26860

Now multiplying the highest exponent prime factors to calculate the LCM of 26854 and 26860.

LCM(26854,26860) = 2² × 29¹ × 463¹ × 5¹ × 17¹ × 79¹
LCM(26854,26860) = 360649220