What is the Least Common Multiple of 58696 and 58711?

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 58696 and 58711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58696 and 58711, than apply into the LCM equation.

GCF(58696,58711) = 1
LCM(58696,58711) = ( 58696 × 58711) / 1
LCM(58696,58711) = 3446100856 / 1
LCM(58696,58711) = 3446100856

Least Common Multiple (LCM) of 58696 and 58711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58696 and 58711. First we will calculate the prime factors of 58696 and 58711.

Prime Factorization of 58696

Prime Factorization of 58711

Now multiplying the highest exponent prime factors to calculate the LCM of 58696 and 58711.

LCM(58696,58711) = 2³ × 11¹ × 23¹ × 29¹ × 58711¹
LCM(58696,58711) = 3446100856