What is the Least Common Multiple of 25828 and 25839?

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 25828 and 25839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25828 and 25839, than apply into the LCM equation.

GCF(25828,25839) = 11
LCM(25828,25839) = ( 25828 × 25839) / 11
LCM(25828,25839) = 667369692 / 11
LCM(25828,25839) = 60669972

Least Common Multiple (LCM) of 25828 and 25839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25828 and 25839. First we will calculate the prime factors of 25828 and 25839.

Prime Factorization of 25828

Prime Factorization of 25839

Now multiplying the highest exponent prime factors to calculate the LCM of 25828 and 25839.

LCM(25828,25839) = 2² × 11¹ × 587¹ × 3⁴ × 29¹
LCM(25828,25839) = 60669972