What is the Least Common Multiple of 53928 and 53933?

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 53928 and 53933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53928 and 53933, than apply into the LCM equation.

GCF(53928,53933) = 1
LCM(53928,53933) = ( 53928 × 53933) / 1
LCM(53928,53933) = 2908498824 / 1
LCM(53928,53933) = 2908498824

Least Common Multiple (LCM) of 53928 and 53933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53928 and 53933. First we will calculate the prime factors of 53928 and 53933.

Prime Factorization of 53928

Prime Factorization of 53933

Now multiplying the highest exponent prime factors to calculate the LCM of 53928 and 53933.

LCM(53928,53933) = 2³ × 3² × 7¹ × 107¹ × 11¹ × 4903¹
LCM(53928,53933) = 2908498824