What is the Least Common Multiple of 58470 and 58474?

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 58470 and 58474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58470 and 58474, than apply into the LCM equation.

GCF(58470,58474) = 2
LCM(58470,58474) = ( 58470 × 58474) / 2
LCM(58470,58474) = 3418974780 / 2
LCM(58470,58474) = 1709487390

Least Common Multiple (LCM) of 58470 and 58474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58470 and 58474. First we will calculate the prime factors of 58470 and 58474.

Prime Factorization of 58470

Prime Factorization of 58474

Now multiplying the highest exponent prime factors to calculate the LCM of 58470 and 58474.

LCM(58470,58474) = 2¹ × 3¹ × 5¹ × 1949¹ × 13² × 173¹
LCM(58470,58474) = 1709487390