What is the Least Common Multiple of 25788 and 25799?

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 25788 and 25799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25788 and 25799, than apply into the LCM equation.

GCF(25788,25799) = 1
LCM(25788,25799) = ( 25788 × 25799) / 1
LCM(25788,25799) = 665304612 / 1
LCM(25788,25799) = 665304612

Least Common Multiple (LCM) of 25788 and 25799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25788 and 25799. First we will calculate the prime factors of 25788 and 25799.

Prime Factorization of 25788

Prime Factorization of 25799

Now multiplying the highest exponent prime factors to calculate the LCM of 25788 and 25799.

LCM(25788,25799) = 2² × 3¹ × 7¹ × 307¹ × 25799¹
LCM(25788,25799) = 665304612