What is the Least Common Multiple of 26416 and 26428?

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 26428 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 26428, than apply into the LCM equation.

GCF(26416,26428) = 4
LCM(26416,26428) = ( 26416 × 26428) / 4
LCM(26416,26428) = 698122048 / 4
LCM(26416,26428) = 174530512

Least Common Multiple (LCM) of 26416 and 26428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26416 and 26428. First we will calculate the prime factors of 26416 and 26428.

Prime Factorization of 26416

Prime Factorization of 26428

Now multiplying the highest exponent prime factors to calculate the LCM of 26416 and 26428.

LCM(26416,26428) = 2⁴ × 13¹ × 127¹ × 6607¹
LCM(26416,26428) = 174530512