What is the Least Common Multiple of 81772 and 81789?

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 81772 and 81789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81772 and 81789, than apply into the LCM equation.

GCF(81772,81789) = 1
LCM(81772,81789) = ( 81772 × 81789) / 1
LCM(81772,81789) = 6688050108 / 1
LCM(81772,81789) = 6688050108

Least Common Multiple (LCM) of 81772 and 81789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81772 and 81789. First we will calculate the prime factors of 81772 and 81789.

Prime Factorization of 81772

Prime Factorization of 81789

Now multiplying the highest exponent prime factors to calculate the LCM of 81772 and 81789.

LCM(81772,81789) = 2² × 20443¹ × 3¹ × 137¹ × 199¹
LCM(81772,81789) = 6688050108