What is the Least Common Multiple of 26408 and 26426?

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 26408 and 26426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26408 and 26426, than apply into the LCM equation.

GCF(26408,26426) = 2
LCM(26408,26426) = ( 26408 × 26426) / 2
LCM(26408,26426) = 697857808 / 2
LCM(26408,26426) = 348928904

Least Common Multiple (LCM) of 26408 and 26426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26408 and 26426. First we will calculate the prime factors of 26408 and 26426.

Prime Factorization of 26408

Prime Factorization of 26426

Now multiplying the highest exponent prime factors to calculate the LCM of 26408 and 26426.

LCM(26408,26426) = 2³ × 3301¹ × 73¹ × 181¹
LCM(26408,26426) = 348928904