What is the Least Common Multiple of 25890 and 25909?

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 25909 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 25909, than apply into the LCM equation.

GCF(25890,25909) = 1
LCM(25890,25909) = ( 25890 × 25909) / 1
LCM(25890,25909) = 670784010 / 1
LCM(25890,25909) = 670784010

Least Common Multiple (LCM) of 25890 and 25909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25890 and 25909. First we will calculate the prime factors of 25890 and 25909.

Prime Factorization of 25890

Prime Factorization of 25909

Now multiplying the highest exponent prime factors to calculate the LCM of 25890 and 25909.

LCM(25890,25909) = 2¹ × 3¹ × 5¹ × 863¹ × 13¹ × 1993¹
LCM(25890,25909) = 670784010