What is the Least Common Multiple of 58796 and 58811?

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 58796 and 58811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58796 and 58811, than apply into the LCM equation.

GCF(58796,58811) = 1
LCM(58796,58811) = ( 58796 × 58811) / 1
LCM(58796,58811) = 3457851556 / 1
LCM(58796,58811) = 3457851556

Least Common Multiple (LCM) of 58796 and 58811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58796 and 58811. First we will calculate the prime factors of 58796 and 58811.

Prime Factorization of 58796

Prime Factorization of 58811

Now multiplying the highest exponent prime factors to calculate the LCM of 58796 and 58811.

LCM(58796,58811) = 2² × 14699¹ × 23¹ × 2557¹
LCM(58796,58811) = 3457851556