What is the Least Common Multiple of 53874 and 53889?

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 53874 and 53889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53874 and 53889, than apply into the LCM equation.

GCF(53874,53889) = 3
LCM(53874,53889) = ( 53874 × 53889) / 3
LCM(53874,53889) = 2903215986 / 3
LCM(53874,53889) = 967738662

Least Common Multiple (LCM) of 53874 and 53889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53874 and 53889. First we will calculate the prime factors of 53874 and 53889.

Prime Factorization of 53874

Prime Factorization of 53889

Now multiplying the highest exponent prime factors to calculate the LCM of 53874 and 53889.

LCM(53874,53889) = 2¹ × 3² × 41¹ × 73¹ × 11¹ × 23¹ × 71¹
LCM(53874,53889) = 967738662