What is the Least Common Multiple of 81609 and 81615?

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 81609 and 81615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81609 and 81615, than apply into the LCM equation.

GCF(81609,81615) = 3
LCM(81609,81615) = ( 81609 × 81615) / 3
LCM(81609,81615) = 6660518535 / 3
LCM(81609,81615) = 2220172845

Least Common Multiple (LCM) of 81609 and 81615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81609 and 81615. First we will calculate the prime factors of 81609 and 81615.

Prime Factorization of 81609

Prime Factorization of 81615

Now multiplying the highest exponent prime factors to calculate the LCM of 81609 and 81615.

LCM(81609,81615) = 3¹ × 11¹ × 2473¹ × 5¹ × 5441¹
LCM(81609,81615) = 2220172845