What is the Least Common Multiple of 58720 and 58728?

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 58720 and 58728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58720 and 58728, than apply into the LCM equation.

GCF(58720,58728) = 8
LCM(58720,58728) = ( 58720 × 58728) / 8
LCM(58720,58728) = 3448508160 / 8
LCM(58720,58728) = 431063520

Least Common Multiple (LCM) of 58720 and 58728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58720 and 58728. First we will calculate the prime factors of 58720 and 58728.

Prime Factorization of 58720

Prime Factorization of 58728

Now multiplying the highest exponent prime factors to calculate the LCM of 58720 and 58728.

LCM(58720,58728) = 2⁵ × 5¹ × 367¹ × 3¹ × 2447¹
LCM(58720,58728) = 431063520