What is the Least Common Multiple of 71853 and 71859?

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 71853 and 71859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71853 and 71859, than apply into the LCM equation.

GCF(71853,71859) = 3
LCM(71853,71859) = ( 71853 × 71859) / 3
LCM(71853,71859) = 5163284727 / 3
LCM(71853,71859) = 1721094909

Least Common Multiple (LCM) of 71853 and 71859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71853 and 71859. First we will calculate the prime factors of 71853 and 71859.

Prime Factorization of 71853

Prime Factorization of 71859

Now multiplying the highest exponent prime factors to calculate the LCM of 71853 and 71859.

LCM(71853,71859) = 3¹ × 43¹ × 557¹ × 17¹ × 1409¹
LCM(71853,71859) = 1721094909