What is the Least Common Multiple of 60852 and 60862?

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 60862 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 60862, than apply into the LCM equation.

GCF(60852,60862) = 2
LCM(60852,60862) = ( 60852 × 60862) / 2
LCM(60852,60862) = 3703574424 / 2
LCM(60852,60862) = 1851787212

Least Common Multiple (LCM) of 60852 and 60862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60852 and 60862. First we will calculate the prime factors of 60852 and 60862.

Prime Factorization of 60852

Prime Factorization of 60862

Now multiplying the highest exponent prime factors to calculate the LCM of 60852 and 60862.

LCM(60852,60862) = 2² × 3¹ × 11¹ × 461¹ × 30431¹
LCM(60852,60862) = 1851787212