What is the Least Common Multiple of 58470 and 58488?

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 58488 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 58488, than apply into the LCM equation.

GCF(58470,58488) = 6
LCM(58470,58488) = ( 58470 × 58488) / 6
LCM(58470,58488) = 3419793360 / 6
LCM(58470,58488) = 569965560

Least Common Multiple (LCM) of 58470 and 58488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58470 and 58488. First we will calculate the prime factors of 58470 and 58488.

Prime Factorization of 58470

Prime Factorization of 58488

Now multiplying the highest exponent prime factors to calculate the LCM of 58470 and 58488.

LCM(58470,58488) = 2³ × 3¹ × 5¹ × 1949¹ × 2437¹
LCM(58470,58488) = 569965560