What is the Least Common Multiple of 65844 and 65859?

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 65844 and 65859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65844 and 65859, than apply into the LCM equation.

GCF(65844,65859) = 3
LCM(65844,65859) = ( 65844 × 65859) / 3
LCM(65844,65859) = 4336419996 / 3
LCM(65844,65859) = 1445473332

Least Common Multiple (LCM) of 65844 and 65859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65844 and 65859. First we will calculate the prime factors of 65844 and 65859.

Prime Factorization of 65844

Prime Factorization of 65859

Now multiplying the highest exponent prime factors to calculate the LCM of 65844 and 65859.

LCM(65844,65859) = 2² × 3² × 31¹ × 59¹ × 29¹ × 757¹
LCM(65844,65859) = 1445473332