What is the Least Common Multiple of 59872 and 59886?

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 59872 and 59886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59872 and 59886, than apply into the LCM equation.

GCF(59872,59886) = 2
LCM(59872,59886) = ( 59872 × 59886) / 2
LCM(59872,59886) = 3585494592 / 2
LCM(59872,59886) = 1792747296

Least Common Multiple (LCM) of 59872 and 59886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59872 and 59886. First we will calculate the prime factors of 59872 and 59886.

Prime Factorization of 59872

Prime Factorization of 59886

Now multiplying the highest exponent prime factors to calculate the LCM of 59872 and 59886.

LCM(59872,59886) = 2⁵ × 1871¹ × 3³ × 1109¹
LCM(59872,59886) = 1792747296