What is the Least Common Multiple of 42813 and 42831?

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 42813 and 42831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42813 and 42831, than apply into the LCM equation.

GCF(42813,42831) = 9
LCM(42813,42831) = ( 42813 × 42831) / 9
LCM(42813,42831) = 1833723603 / 9
LCM(42813,42831) = 203747067

Least Common Multiple (LCM) of 42813 and 42831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42813 and 42831. First we will calculate the prime factors of 42813 and 42831.

Prime Factorization of 42813

Prime Factorization of 42831

Now multiplying the highest exponent prime factors to calculate the LCM of 42813 and 42831.

LCM(42813,42831) = 3² × 67¹ × 71¹ × 4759¹
LCM(42813,42831) = 203747067