What is the Least Common Multiple of 25830 and 25850?

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 25830 and 25850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25830 and 25850, than apply into the LCM equation.

GCF(25830,25850) = 10
LCM(25830,25850) = ( 25830 × 25850) / 10
LCM(25830,25850) = 667705500 / 10
LCM(25830,25850) = 66770550

Least Common Multiple (LCM) of 25830 and 25850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25830 and 25850. First we will calculate the prime factors of 25830 and 25850.

Prime Factorization of 25830

Prime Factorization of 25850

Now multiplying the highest exponent prime factors to calculate the LCM of 25830 and 25850.

LCM(25830,25850) = 2¹ × 3² × 5² × 7¹ × 41¹ × 11¹ × 47¹
LCM(25830,25850) = 66770550