What is the Least Common Multiple of 99586 and 99603?

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 99586 and 99603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99586 and 99603, than apply into the LCM equation.

GCF(99586,99603) = 17
LCM(99586,99603) = ( 99586 × 99603) / 17
LCM(99586,99603) = 9919064358 / 17
LCM(99586,99603) = 583474374

Least Common Multiple (LCM) of 99586 and 99603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99586 and 99603. First we will calculate the prime factors of 99586 and 99603.

Prime Factorization of 99586

Prime Factorization of 99603

Now multiplying the highest exponent prime factors to calculate the LCM of 99586 and 99603.

LCM(99586,99603) = 2¹ × 17¹ × 29¹ × 101¹ × 3³ × 7¹ × 31¹
LCM(99586,99603) = 583474374