What is the Least Common Multiple of 54928 and 54947?

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 54928 and 54947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54928 and 54947, than apply into the LCM equation.

GCF(54928,54947) = 1
LCM(54928,54947) = ( 54928 × 54947) / 1
LCM(54928,54947) = 3018128816 / 1
LCM(54928,54947) = 3018128816

Least Common Multiple (LCM) of 54928 and 54947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54928 and 54947. First we will calculate the prime factors of 54928 and 54947.

Prime Factorization of 54928

Prime Factorization of 54947

Now multiplying the highest exponent prime factors to calculate the LCM of 54928 and 54947.

LCM(54928,54947) = 2⁴ × 3433¹ × 23¹ × 2389¹
LCM(54928,54947) = 3018128816