What is the Least Common Multiple of 58032 and 58041?

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 58041 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 58041, than apply into the LCM equation.

GCF(58032,58041) = 9
LCM(58032,58041) = ( 58032 × 58041) / 9
LCM(58032,58041) = 3368235312 / 9
LCM(58032,58041) = 374248368

Least Common Multiple (LCM) of 58032 and 58041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58032 and 58041. First we will calculate the prime factors of 58032 and 58041.

Prime Factorization of 58032

Prime Factorization of 58041

Now multiplying the highest exponent prime factors to calculate the LCM of 58032 and 58041.

LCM(58032,58041) = 2⁴ × 3² × 13¹ × 31¹ × 6449¹
LCM(58032,58041) = 374248368