What is the Least Common Multiple of 51772 and 51789?

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 51772 and 51789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51772 and 51789, than apply into the LCM equation.

GCF(51772,51789) = 1
LCM(51772,51789) = ( 51772 × 51789) / 1
LCM(51772,51789) = 2681220108 / 1
LCM(51772,51789) = 2681220108

Least Common Multiple (LCM) of 51772 and 51789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51772 and 51789. First we will calculate the prime factors of 51772 and 51789.

Prime Factorization of 51772

Prime Factorization of 51789

Now multiplying the highest exponent prime factors to calculate the LCM of 51772 and 51789.

LCM(51772,51789) = 2² × 7¹ × 43² × 3¹ × 61¹ × 283¹
LCM(51772,51789) = 2681220108