What is the Least Common Multiple of 58464 and 58472?

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 58472 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 58472, than apply into the LCM equation.

GCF(58464,58472) = 8
LCM(58464,58472) = ( 58464 × 58472) / 8
LCM(58464,58472) = 3418507008 / 8
LCM(58464,58472) = 427313376

Least Common Multiple (LCM) of 58464 and 58472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58464 and 58472. First we will calculate the prime factors of 58464 and 58472.

Prime Factorization of 58464

Prime Factorization of 58472

Now multiplying the highest exponent prime factors to calculate the LCM of 58464 and 58472.

LCM(58464,58472) = 2⁵ × 3² × 7¹ × 29¹ × 7309¹
LCM(58464,58472) = 427313376