What is the Least Common Multiple of 58464 and 58470?

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 58464 and 58470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58464 and 58470, than apply into the LCM equation.

GCF(58464,58470) = 6
LCM(58464,58470) = ( 58464 × 58470) / 6
LCM(58464,58470) = 3418390080 / 6
LCM(58464,58470) = 569731680

Least Common Multiple (LCM) of 58464 and 58470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58464 and 58470. First we will calculate the prime factors of 58464 and 58470.

Prime Factorization of 58464

Prime Factorization of 58470

Now multiplying the highest exponent prime factors to calculate the LCM of 58464 and 58470.

LCM(58464,58470) = 2⁵ × 3² × 7¹ × 29¹ × 5¹ × 1949¹
LCM(58464,58470) = 569731680