What is the Least Common Multiple of 25890 and 25902?

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 25890 and 25902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25890 and 25902, than apply into the LCM equation.

GCF(25890,25902) = 6
LCM(25890,25902) = ( 25890 × 25902) / 6
LCM(25890,25902) = 670602780 / 6
LCM(25890,25902) = 111767130

Least Common Multiple (LCM) of 25890 and 25902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25890 and 25902. First we will calculate the prime factors of 25890 and 25902.

Prime Factorization of 25890

Prime Factorization of 25902

Now multiplying the highest exponent prime factors to calculate the LCM of 25890 and 25902.

LCM(25890,25902) = 2¹ × 3² × 5¹ × 863¹ × 1439¹
LCM(25890,25902) = 111767130