What is the Least Common Multiple of 58448 and 58460?

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 58448 and 58460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58448 and 58460, than apply into the LCM equation.

GCF(58448,58460) = 4
LCM(58448,58460) = ( 58448 × 58460) / 4
LCM(58448,58460) = 3416870080 / 4
LCM(58448,58460) = 854217520

Least Common Multiple (LCM) of 58448 and 58460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58448 and 58460. First we will calculate the prime factors of 58448 and 58460.

Prime Factorization of 58448

Prime Factorization of 58460

Now multiplying the highest exponent prime factors to calculate the LCM of 58448 and 58460.

LCM(58448,58460) = 2⁴ × 13¹ × 281¹ × 5¹ × 37¹ × 79¹
LCM(58448,58460) = 854217520