What is the Least Common Multiple of 60852 and 60866?

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 60852 and 60866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60852 and 60866, than apply into the LCM equation.

GCF(60852,60866) = 2
LCM(60852,60866) = ( 60852 × 60866) / 2
LCM(60852,60866) = 3703817832 / 2
LCM(60852,60866) = 1851908916

Least Common Multiple (LCM) of 60852 and 60866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60852 and 60866. First we will calculate the prime factors of 60852 and 60866.

Prime Factorization of 60852

Prime Factorization of 60866

Now multiplying the highest exponent prime factors to calculate the LCM of 60852 and 60866.

LCM(60852,60866) = 2² × 3¹ × 11¹ × 461¹ × 13¹ × 2341¹
LCM(60852,60866) = 1851908916