What is the Least Common Multiple of 81904 and 81923?

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 81904 and 81923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81904 and 81923, than apply into the LCM equation.

GCF(81904,81923) = 1
LCM(81904,81923) = ( 81904 × 81923) / 1
LCM(81904,81923) = 6709821392 / 1
LCM(81904,81923) = 6709821392

Least Common Multiple (LCM) of 81904 and 81923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81904 and 81923. First we will calculate the prime factors of 81904 and 81923.

Prime Factorization of 81904

Prime Factorization of 81923

Now multiplying the highest exponent prime factors to calculate the LCM of 81904 and 81923.

LCM(81904,81923) = 2⁴ × 5119¹ × 17¹ × 61¹ × 79¹
LCM(81904,81923) = 6709821392