What is the Least Common Multiple of 26256 and 26274?

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 26256 and 26274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26256 and 26274, than apply into the LCM equation.

GCF(26256,26274) = 6
LCM(26256,26274) = ( 26256 × 26274) / 6
LCM(26256,26274) = 689850144 / 6
LCM(26256,26274) = 114975024

Least Common Multiple (LCM) of 26256 and 26274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26256 and 26274. First we will calculate the prime factors of 26256 and 26274.

Prime Factorization of 26256

Prime Factorization of 26274

Now multiplying the highest exponent prime factors to calculate the LCM of 26256 and 26274.

LCM(26256,26274) = 2⁴ × 3¹ × 547¹ × 29¹ × 151¹
LCM(26256,26274) = 114975024