What is the Least Common Multiple of 81928 and 81933?

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 81928 and 81933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81928 and 81933, than apply into the LCM equation.

GCF(81928,81933) = 1
LCM(81928,81933) = ( 81928 × 81933) / 1
LCM(81928,81933) = 6712606824 / 1
LCM(81928,81933) = 6712606824

Least Common Multiple (LCM) of 81928 and 81933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81928 and 81933. First we will calculate the prime factors of 81928 and 81933.

Prime Factorization of 81928

Prime Factorization of 81933

Now multiplying the highest exponent prime factors to calculate the LCM of 81928 and 81933.

LCM(81928,81933) = 2³ × 7² × 11¹ × 19¹ × 3¹ × 31¹ × 881¹
LCM(81928,81933) = 6712606824