What is the Least Common Multiple of 81809 and 81815?

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 81809 and 81815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81809 and 81815, than apply into the LCM equation.

GCF(81809,81815) = 1
LCM(81809,81815) = ( 81809 × 81815) / 1
LCM(81809,81815) = 6693203335 / 1
LCM(81809,81815) = 6693203335

Least Common Multiple (LCM) of 81809 and 81815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81809 and 81815. First we will calculate the prime factors of 81809 and 81815.

Prime Factorization of 81809

Prime Factorization of 81815

Now multiplying the highest exponent prime factors to calculate the LCM of 81809 and 81815.

LCM(81809,81815) = 7¹ × 13¹ × 29¹ × 31¹ × 5¹ × 16363¹
LCM(81809,81815) = 6693203335