What is the Least Common Multiple of 58014 and 58030?

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 58014 and 58030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58014 and 58030, than apply into the LCM equation.

GCF(58014,58030) = 2
LCM(58014,58030) = ( 58014 × 58030) / 2
LCM(58014,58030) = 3366552420 / 2
LCM(58014,58030) = 1683276210

Least Common Multiple (LCM) of 58014 and 58030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58014 and 58030. First we will calculate the prime factors of 58014 and 58030.

Prime Factorization of 58014

Prime Factorization of 58030

Now multiplying the highest exponent prime factors to calculate the LCM of 58014 and 58030.

LCM(58014,58030) = 2¹ × 3² × 11¹ × 293¹ × 5¹ × 7¹ × 829¹
LCM(58014,58030) = 1683276210