What is the Least Common Multiple of 84584 and 84603?

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 84584 and 84603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84584 and 84603, than apply into the LCM equation.

GCF(84584,84603) = 1
LCM(84584,84603) = ( 84584 × 84603) / 1
LCM(84584,84603) = 7156060152 / 1
LCM(84584,84603) = 7156060152

Least Common Multiple (LCM) of 84584 and 84603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84584 and 84603. First we will calculate the prime factors of 84584 and 84603.

Prime Factorization of 84584

Prime Factorization of 84603

Now multiplying the highest exponent prime factors to calculate the LCM of 84584 and 84603.

LCM(84584,84603) = 2³ × 97¹ × 109¹ × 3¹ × 28201¹
LCM(84584,84603) = 7156060152