What is the Least Common Multiple of 26250 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 26250 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 26250 and 26256, than apply into the LCM equation.

GCF(26250,26256) = 6
LCM(26250,26256) = ( 26250 × 26256) / 6
LCM(26250,26256) = 689220000 / 6
LCM(26250,26256) = 114870000

Least Common Multiple (LCM) of 26250 and 26256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26250 and 26256. First we will calculate the prime factors of 26250 and 26256.

Prime Factorization of 26250

Prime Factorization of 26256

Now multiplying the highest exponent prime factors to calculate the LCM of 26250 and 26256.

LCM(26250,26256) = 2⁴ × 3¹ × 5⁴ × 7¹ × 547¹
LCM(26250,26256) = 114870000