What is the Least Common Multiple of 61845 and 61854?

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 61845 and 61854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61845 and 61854, than apply into the LCM equation.

GCF(61845,61854) = 3
LCM(61845,61854) = ( 61845 × 61854) / 3
LCM(61845,61854) = 3825360630 / 3
LCM(61845,61854) = 1275120210

Least Common Multiple (LCM) of 61845 and 61854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61845 and 61854. First we will calculate the prime factors of 61845 and 61854.

Prime Factorization of 61845

Prime Factorization of 61854

Now multiplying the highest exponent prime factors to calculate the LCM of 61845 and 61854.

LCM(61845,61854) = 3¹ × 5¹ × 7¹ × 19¹ × 31¹ × 2¹ × 13² × 61¹
LCM(61845,61854) = 1275120210