What is the Least Common Multiple of 81885 and 81904?

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 81885 and 81904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81885 and 81904, than apply into the LCM equation.

GCF(81885,81904) = 1
LCM(81885,81904) = ( 81885 × 81904) / 1
LCM(81885,81904) = 6706709040 / 1
LCM(81885,81904) = 6706709040

Least Common Multiple (LCM) of 81885 and 81904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81885 and 81904. First we will calculate the prime factors of 81885 and 81904.

Prime Factorization of 81885

Prime Factorization of 81904

Now multiplying the highest exponent prime factors to calculate the LCM of 81885 and 81904.

LCM(81885,81904) = 3¹ × 5¹ × 53¹ × 103¹ × 2⁴ × 5119¹
LCM(81885,81904) = 6706709040