What is the Least Common Multiple of 58032 and 58043?

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 58043 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 58043, than apply into the LCM equation.

GCF(58032,58043) = 1
LCM(58032,58043) = ( 58032 × 58043) / 1
LCM(58032,58043) = 3368351376 / 1
LCM(58032,58043) = 3368351376

Least Common Multiple (LCM) of 58032 and 58043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58032 and 58043. First we will calculate the prime factors of 58032 and 58043.

Prime Factorization of 58032

Prime Factorization of 58043

Now multiplying the highest exponent prime factors to calculate the LCM of 58032 and 58043.

LCM(58032,58043) = 2⁴ × 3² × 13¹ × 31¹ × 58043¹
LCM(58032,58043) = 3368351376