What is the Least Common Multiple of 33588 and 33603?

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 33588 and 33603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33588 and 33603, than apply into the LCM equation.

GCF(33588,33603) = 3
LCM(33588,33603) = ( 33588 × 33603) / 3
LCM(33588,33603) = 1128657564 / 3
LCM(33588,33603) = 376219188

Least Common Multiple (LCM) of 33588 and 33603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33588 and 33603. First we will calculate the prime factors of 33588 and 33603.

Prime Factorization of 33588

Prime Factorization of 33603

Now multiplying the highest exponent prime factors to calculate the LCM of 33588 and 33603.

LCM(33588,33603) = 2² × 3³ × 311¹ × 23¹ × 487¹
LCM(33588,33603) = 376219188