What is the Least Common Multiple of 26380 and 26390?

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 26380 and 26390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26380 and 26390, than apply into the LCM equation.

GCF(26380,26390) = 10
LCM(26380,26390) = ( 26380 × 26390) / 10
LCM(26380,26390) = 696168200 / 10
LCM(26380,26390) = 69616820

Least Common Multiple (LCM) of 26380 and 26390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26380 and 26390. First we will calculate the prime factors of 26380 and 26390.

Prime Factorization of 26380

Prime Factorization of 26390

Now multiplying the highest exponent prime factors to calculate the LCM of 26380 and 26390.

LCM(26380,26390) = 2² × 5¹ × 1319¹ × 7¹ × 13¹ × 29¹
LCM(26380,26390) = 69616820