What is the Least Common Multiple of 58864 and 58880?

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 58864 and 58880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58864 and 58880, than apply into the LCM equation.

GCF(58864,58880) = 16
LCM(58864,58880) = ( 58864 × 58880) / 16
LCM(58864,58880) = 3465912320 / 16
LCM(58864,58880) = 216619520

Least Common Multiple (LCM) of 58864 and 58880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58864 and 58880. First we will calculate the prime factors of 58864 and 58880.

Prime Factorization of 58864

Prime Factorization of 58880

Now multiplying the highest exponent prime factors to calculate the LCM of 58864 and 58880.

LCM(58864,58880) = 2⁹ × 13¹ × 283¹ × 5¹ × 23¹
LCM(58864,58880) = 216619520