What is the Least Common Multiple of 81872 and 81889?

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 81872 and 81889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81872 and 81889, than apply into the LCM equation.

GCF(81872,81889) = 17
LCM(81872,81889) = ( 81872 × 81889) / 17
LCM(81872,81889) = 6704416208 / 17
LCM(81872,81889) = 394377424

Least Common Multiple (LCM) of 81872 and 81889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81872 and 81889. First we will calculate the prime factors of 81872 and 81889.

Prime Factorization of 81872

Prime Factorization of 81889

Now multiplying the highest exponent prime factors to calculate the LCM of 81872 and 81889.

LCM(81872,81889) = 2⁴ × 7¹ × 17¹ × 43¹ × 4817¹
LCM(81872,81889) = 394377424