What is the Least Common Multiple of 26408 and 26421?

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 26421 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 26421, than apply into the LCM equation.

GCF(26408,26421) = 1
LCM(26408,26421) = ( 26408 × 26421) / 1
LCM(26408,26421) = 697725768 / 1
LCM(26408,26421) = 697725768

Least Common Multiple (LCM) of 26408 and 26421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26408 and 26421. First we will calculate the prime factors of 26408 and 26421.

Prime Factorization of 26408

Prime Factorization of 26421

Now multiplying the highest exponent prime factors to calculate the LCM of 26408 and 26421.

LCM(26408,26421) = 2³ × 3301¹ × 3¹ × 8807¹
LCM(26408,26421) = 697725768