What is the Least Common Multiple of 51558 and 51573?

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 51558 and 51573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51558 and 51573, than apply into the LCM equation.

GCF(51558,51573) = 3
LCM(51558,51573) = ( 51558 × 51573) / 3
LCM(51558,51573) = 2659000734 / 3
LCM(51558,51573) = 886333578

Least Common Multiple (LCM) of 51558 and 51573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51558 and 51573. First we will calculate the prime factors of 51558 and 51573.

Prime Factorization of 51558

Prime Factorization of 51573

Now multiplying the highest exponent prime factors to calculate the LCM of 51558 and 51573.

LCM(51558,51573) = 2¹ × 3¹ × 13¹ × 661¹ × 17191¹
LCM(51558,51573) = 886333578