What is the Least Common Multiple of 58416 and 58424?

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 58416 and 58424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58416 and 58424, than apply into the LCM equation.

GCF(58416,58424) = 8
LCM(58416,58424) = ( 58416 × 58424) / 8
LCM(58416,58424) = 3412896384 / 8
LCM(58416,58424) = 426612048

Least Common Multiple (LCM) of 58416 and 58424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58416 and 58424. First we will calculate the prime factors of 58416 and 58424.

Prime Factorization of 58416

Prime Factorization of 58424

Now multiplying the highest exponent prime factors to calculate the LCM of 58416 and 58424.

LCM(58416,58424) = 2⁴ × 3¹ × 1217¹ × 67¹ × 109¹
LCM(58416,58424) = 426612048