What is the Least Common Multiple of 84603 and 84609?

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 84603 and 84609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84603 and 84609, than apply into the LCM equation.

GCF(84603,84609) = 3
LCM(84603,84609) = ( 84603 × 84609) / 3
LCM(84603,84609) = 7158175227 / 3
LCM(84603,84609) = 2386058409

Least Common Multiple (LCM) of 84603 and 84609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84603 and 84609. First we will calculate the prime factors of 84603 and 84609.

Prime Factorization of 84603

Prime Factorization of 84609

Now multiplying the highest exponent prime factors to calculate the LCM of 84603 and 84609.

LCM(84603,84609) = 3² × 28201¹ × 7¹ × 17¹ × 79¹
LCM(84603,84609) = 2386058409