What is the Least Common Multiple of 61809 and 61825?

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 61809 and 61825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61809 and 61825, than apply into the LCM equation.

GCF(61809,61825) = 1
LCM(61809,61825) = ( 61809 × 61825) / 1
LCM(61809,61825) = 3821341425 / 1
LCM(61809,61825) = 3821341425

Least Common Multiple (LCM) of 61809 and 61825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61809 and 61825. First we will calculate the prime factors of 61809 and 61825.

Prime Factorization of 61809

Prime Factorization of 61825

Now multiplying the highest exponent prime factors to calculate the LCM of 61809 and 61825.

LCM(61809,61825) = 3¹ × 11¹ × 1873¹ × 5² × 2473¹
LCM(61809,61825) = 3821341425