What is the Least Common Multiple of 81609 and 81620?

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 81620 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 81620, than apply into the LCM equation.

GCF(81609,81620) = 11
LCM(81609,81620) = ( 81609 × 81620) / 11
LCM(81609,81620) = 6660926580 / 11
LCM(81609,81620) = 605538780

Least Common Multiple (LCM) of 81609 and 81620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81609 and 81620. First we will calculate the prime factors of 81609 and 81620.

Prime Factorization of 81609

Prime Factorization of 81620

Now multiplying the highest exponent prime factors to calculate the LCM of 81609 and 81620.

LCM(81609,81620) = 3¹ × 11¹ × 2473¹ × 2² × 5¹ × 7¹ × 53¹
LCM(81609,81620) = 605538780