What is the Least Common Multiple of 42852 and 42856?

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 42852 and 42856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42852 and 42856, than apply into the LCM equation.

GCF(42852,42856) = 4
LCM(42852,42856) = ( 42852 × 42856) / 4
LCM(42852,42856) = 1836465312 / 4
LCM(42852,42856) = 459116328

Least Common Multiple (LCM) of 42852 and 42856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42852 and 42856. First we will calculate the prime factors of 42852 and 42856.

Prime Factorization of 42852

Prime Factorization of 42856

Now multiplying the highest exponent prime factors to calculate the LCM of 42852 and 42856.

LCM(42852,42856) = 2³ × 3¹ × 3571¹ × 11¹ × 487¹
LCM(42852,42856) = 459116328