What is the Least Common Multiple of 26237 and 26256?

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 26237 and 26256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26237 and 26256, than apply into the LCM equation.

GCF(26237,26256) = 1
LCM(26237,26256) = ( 26237 × 26256) / 1
LCM(26237,26256) = 688878672 / 1
LCM(26237,26256) = 688878672

Least Common Multiple (LCM) of 26237 and 26256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26237 and 26256. First we will calculate the prime factors of 26237 and 26256.

Prime Factorization of 26237

Prime Factorization of 26256

Now multiplying the highest exponent prime factors to calculate the LCM of 26237 and 26256.

LCM(26237,26256) = 26237¹ × 2⁴ × 3¹ × 547¹
LCM(26237,26256) = 688878672