What is the Least Common Multiple of 58048 and 58056?

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 58048 and 58056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58048 and 58056, than apply into the LCM equation.

GCF(58048,58056) = 8
LCM(58048,58056) = ( 58048 × 58056) / 8
LCM(58048,58056) = 3370034688 / 8
LCM(58048,58056) = 421254336

Least Common Multiple (LCM) of 58048 and 58056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58048 and 58056. First we will calculate the prime factors of 58048 and 58056.

Prime Factorization of 58048

Prime Factorization of 58056

Now multiplying the highest exponent prime factors to calculate the LCM of 58048 and 58056.

LCM(58048,58056) = 2⁶ × 907¹ × 3¹ × 41¹ × 59¹
LCM(58048,58056) = 421254336