What is the Least Common Multiple of 61845 and 61865?

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 61865 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 61865, than apply into the LCM equation.

GCF(61845,61865) = 5
LCM(61845,61865) = ( 61845 × 61865) / 5
LCM(61845,61865) = 3826040925 / 5
LCM(61845,61865) = 765208185

Least Common Multiple (LCM) of 61845 and 61865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61845 and 61865. First we will calculate the prime factors of 61845 and 61865.

Prime Factorization of 61845

Prime Factorization of 61865

Now multiplying the highest exponent prime factors to calculate the LCM of 61845 and 61865.

LCM(61845,61865) = 3¹ × 5¹ × 7¹ × 19¹ × 31¹ × 12373¹
LCM(61845,61865) = 765208185