What is the Least Common Multiple of 84585 and 84604?

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 84585 and 84604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84585 and 84604, than apply into the LCM equation.

GCF(84585,84604) = 1
LCM(84585,84604) = ( 84585 × 84604) / 1
LCM(84585,84604) = 7156229340 / 1
LCM(84585,84604) = 7156229340

Least Common Multiple (LCM) of 84585 and 84604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84585 and 84604. First we will calculate the prime factors of 84585 and 84604.

Prime Factorization of 84585

Prime Factorization of 84604

Now multiplying the highest exponent prime factors to calculate the LCM of 84585 and 84604.

LCM(84585,84604) = 3¹ × 5¹ × 5639¹ × 2² × 13¹ × 1627¹
LCM(84585,84604) = 7156229340