What is the Least Common Multiple of 58456 and 58468?

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 58456 and 58468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58456 and 58468, than apply into the LCM equation.

GCF(58456,58468) = 4
LCM(58456,58468) = ( 58456 × 58468) / 4
LCM(58456,58468) = 3417805408 / 4
LCM(58456,58468) = 854451352

Least Common Multiple (LCM) of 58456 and 58468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58456 and 58468. First we will calculate the prime factors of 58456 and 58468.

Prime Factorization of 58456

Prime Factorization of 58468

Now multiplying the highest exponent prime factors to calculate the LCM of 58456 and 58468.

LCM(58456,58468) = 2³ × 7307¹ × 47¹ × 311¹
LCM(58456,58468) = 854451352