What is the Least Common Multiple of 71809 and 71817?

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 71809 and 71817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71809 and 71817, than apply into the LCM equation.

GCF(71809,71817) = 1
LCM(71809,71817) = ( 71809 × 71817) / 1
LCM(71809,71817) = 5157106953 / 1
LCM(71809,71817) = 5157106953

Least Common Multiple (LCM) of 71809 and 71817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71809 and 71817. First we will calculate the prime factors of 71809 and 71817.

Prime Factorization of 71809

Prime Factorization of 71817

Now multiplying the highest exponent prime factors to calculate the LCM of 71809 and 71817.

LCM(71809,71817) = 71809¹ × 3¹ × 37¹ × 647¹
LCM(71809,71817) = 5157106953