What is the Least Common Multiple of 58689 and 58696?

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 58689 and 58696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58689 and 58696, than apply into the LCM equation.

GCF(58689,58696) = 1
LCM(58689,58696) = ( 58689 × 58696) / 1
LCM(58689,58696) = 3444809544 / 1
LCM(58689,58696) = 3444809544

Least Common Multiple (LCM) of 58689 and 58696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58689 and 58696. First we will calculate the prime factors of 58689 and 58696.

Prime Factorization of 58689

Prime Factorization of 58696

Now multiplying the highest exponent prime factors to calculate the LCM of 58689 and 58696.

LCM(58689,58696) = 3² × 6521¹ × 2³ × 11¹ × 23¹ × 29¹
LCM(58689,58696) = 3444809544