What is the Least Common Multiple of 26416 and 26431?

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 26416 and 26431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26416 and 26431, than apply into the LCM equation.

GCF(26416,26431) = 1
LCM(26416,26431) = ( 26416 × 26431) / 1
LCM(26416,26431) = 698201296 / 1
LCM(26416,26431) = 698201296

Least Common Multiple (LCM) of 26416 and 26431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26416 and 26431. First we will calculate the prime factors of 26416 and 26431.

Prime Factorization of 26416

Prime Factorization of 26431

Now multiplying the highest exponent prime factors to calculate the LCM of 26416 and 26431.

LCM(26416,26431) = 2⁴ × 13¹ × 127¹ × 26431¹
LCM(26416,26431) = 698201296