What is the Least Common Multiple of 33498 and 33510?

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 33498 and 33510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33498 and 33510, than apply into the LCM equation.

GCF(33498,33510) = 6
LCM(33498,33510) = ( 33498 × 33510) / 6
LCM(33498,33510) = 1122517980 / 6
LCM(33498,33510) = 187086330

Least Common Multiple (LCM) of 33498 and 33510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33498 and 33510. First we will calculate the prime factors of 33498 and 33510.

Prime Factorization of 33498

Prime Factorization of 33510

Now multiplying the highest exponent prime factors to calculate the LCM of 33498 and 33510.

LCM(33498,33510) = 2¹ × 3² × 1861¹ × 5¹ × 1117¹
LCM(33498,33510) = 187086330