What is the Least Common Multiple of 58032 and 58050?

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 58050 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 58050, than apply into the LCM equation.

GCF(58032,58050) = 18
LCM(58032,58050) = ( 58032 × 58050) / 18
LCM(58032,58050) = 3368757600 / 18
LCM(58032,58050) = 187153200

Least Common Multiple (LCM) of 58032 and 58050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58032 and 58050. First we will calculate the prime factors of 58032 and 58050.

Prime Factorization of 58032

Prime Factorization of 58050

Now multiplying the highest exponent prime factors to calculate the LCM of 58032 and 58050.

LCM(58032,58050) = 2⁴ × 3³ × 13¹ × 31¹ × 5² × 43¹
LCM(58032,58050) = 187153200