What is the Least Common Multiple of 58848 and 58865?

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 58848 and 58865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58848 and 58865, than apply into the LCM equation.

GCF(58848,58865) = 1
LCM(58848,58865) = ( 58848 × 58865) / 1
LCM(58848,58865) = 3464087520 / 1
LCM(58848,58865) = 3464087520

Least Common Multiple (LCM) of 58848 and 58865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58848 and 58865. First we will calculate the prime factors of 58848 and 58865.

Prime Factorization of 58848

Prime Factorization of 58865

Now multiplying the highest exponent prime factors to calculate the LCM of 58848 and 58865.

LCM(58848,58865) = 2⁵ × 3¹ × 613¹ × 5¹ × 61¹ × 193¹
LCM(58848,58865) = 3464087520