What is the Least Common Multiple of 53889 and 53906?

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 53889 and 53906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53889 and 53906, than apply into the LCM equation.

GCF(53889,53906) = 1
LCM(53889,53906) = ( 53889 × 53906) / 1
LCM(53889,53906) = 2904940434 / 1
LCM(53889,53906) = 2904940434

Least Common Multiple (LCM) of 53889 and 53906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53889 and 53906. First we will calculate the prime factors of 53889 and 53906.

Prime Factorization of 53889

Prime Factorization of 53906

Now multiplying the highest exponent prime factors to calculate the LCM of 53889 and 53906.

LCM(53889,53906) = 3¹ × 11¹ × 23¹ × 71¹ × 2¹ × 26953¹
LCM(53889,53906) = 2904940434