What is the Least Common Multiple of 58032 and 58049?

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 58032 and 58049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58032 and 58049, than apply into the LCM equation.

GCF(58032,58049) = 1
LCM(58032,58049) = ( 58032 × 58049) / 1
LCM(58032,58049) = 3368699568 / 1
LCM(58032,58049) = 3368699568

Least Common Multiple (LCM) of 58032 and 58049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58032 and 58049. First we will calculate the prime factors of 58032 and 58049.

Prime Factorization of 58032

Prime Factorization of 58049

Now multiplying the highest exponent prime factors to calculate the LCM of 58032 and 58049.

LCM(58032,58049) = 2⁴ × 3² × 13¹ × 31¹ × 58049¹
LCM(58032,58049) = 3368699568