What is the Least Common Multiple of 26431 and 26440?

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 26431 and 26440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26431 and 26440, than apply into the LCM equation.

GCF(26431,26440) = 1
LCM(26431,26440) = ( 26431 × 26440) / 1
LCM(26431,26440) = 698835640 / 1
LCM(26431,26440) = 698835640

Least Common Multiple (LCM) of 26431 and 26440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26431 and 26440. First we will calculate the prime factors of 26431 and 26440.

Prime Factorization of 26431

Prime Factorization of 26440

Now multiplying the highest exponent prime factors to calculate the LCM of 26431 and 26440.

LCM(26431,26440) = 26431¹ × 2³ × 5¹ × 661¹
LCM(26431,26440) = 698835640