What is the Least Common Multiple of 51813 and 51831?

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 51813 and 51831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51813 and 51831, than apply into the LCM equation.

GCF(51813,51831) = 9
LCM(51813,51831) = ( 51813 × 51831) / 9
LCM(51813,51831) = 2685519603 / 9
LCM(51813,51831) = 298391067

Least Common Multiple (LCM) of 51813 and 51831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51813 and 51831. First we will calculate the prime factors of 51813 and 51831.

Prime Factorization of 51813

Prime Factorization of 51831

Now multiplying the highest exponent prime factors to calculate the LCM of 51813 and 51831.

LCM(51813,51831) = 3³ × 19¹ × 101¹ × 13¹ × 443¹
LCM(51813,51831) = 298391067