What is the Least Common Multiple of 71793 and 71812?

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 71793 and 71812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71793 and 71812, than apply into the LCM equation.

GCF(71793,71812) = 1
LCM(71793,71812) = ( 71793 × 71812) / 1
LCM(71793,71812) = 5155598916 / 1
LCM(71793,71812) = 5155598916

Least Common Multiple (LCM) of 71793 and 71812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71793 and 71812. First we will calculate the prime factors of 71793 and 71812.

Prime Factorization of 71793

Prime Factorization of 71812

Now multiplying the highest exponent prime factors to calculate the LCM of 71793 and 71812.

LCM(71793,71812) = 3³ × 2659¹ × 2² × 13¹ × 1381¹
LCM(71793,71812) = 5155598916