What is the Least Common Multiple of 26875 and 26879?

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 26875 and 26879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26875 and 26879, than apply into the LCM equation.

GCF(26875,26879) = 1
LCM(26875,26879) = ( 26875 × 26879) / 1
LCM(26875,26879) = 722373125 / 1
LCM(26875,26879) = 722373125

Least Common Multiple (LCM) of 26875 and 26879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26875 and 26879. First we will calculate the prime factors of 26875 and 26879.

Prime Factorization of 26875

Prime Factorization of 26879

Now multiplying the highest exponent prime factors to calculate the LCM of 26875 and 26879.

LCM(26875,26879) = 5⁴ × 43¹ × 26879¹
LCM(26875,26879) = 722373125