What is the Least Common Multiple of 52889 and 52904?

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 52889 and 52904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52889 and 52904, than apply into the LCM equation.

GCF(52889,52904) = 1
LCM(52889,52904) = ( 52889 × 52904) / 1
LCM(52889,52904) = 2798039656 / 1
LCM(52889,52904) = 2798039656

Least Common Multiple (LCM) of 52889 and 52904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52889 and 52904. First we will calculate the prime factors of 52889 and 52904.

Prime Factorization of 52889

Prime Factorization of 52904

Now multiplying the highest exponent prime factors to calculate the LCM of 52889 and 52904.

LCM(52889,52904) = 52889¹ × 2³ × 17¹ × 389¹
LCM(52889,52904) = 2798039656