What is the Least Common Multiple of 26172 and 26190?

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 26172 and 26190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26172 and 26190, than apply into the LCM equation.

GCF(26172,26190) = 18
LCM(26172,26190) = ( 26172 × 26190) / 18
LCM(26172,26190) = 685444680 / 18
LCM(26172,26190) = 38080260

Least Common Multiple (LCM) of 26172 and 26190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26172 and 26190. First we will calculate the prime factors of 26172 and 26190.

Prime Factorization of 26172

Prime Factorization of 26190

Now multiplying the highest exponent prime factors to calculate the LCM of 26172 and 26190.

LCM(26172,26190) = 2² × 3³ × 727¹ × 5¹ × 97¹
LCM(26172,26190) = 38080260