What is the Least Common Multiple of 26350 and 26368?

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 26350 and 26368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26350 and 26368, than apply into the LCM equation.

GCF(26350,26368) = 2
LCM(26350,26368) = ( 26350 × 26368) / 2
LCM(26350,26368) = 694796800 / 2
LCM(26350,26368) = 347398400

Least Common Multiple (LCM) of 26350 and 26368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26350 and 26368. First we will calculate the prime factors of 26350 and 26368.

Prime Factorization of 26350

Prime Factorization of 26368

Now multiplying the highest exponent prime factors to calculate the LCM of 26350 and 26368.

LCM(26350,26368) = 2⁸ × 5² × 17¹ × 31¹ × 103¹
LCM(26350,26368) = 347398400