What is the Least Common Multiple of 33404 and 33410?

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 33404 and 33410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33404 and 33410, than apply into the LCM equation.

GCF(33404,33410) = 2
LCM(33404,33410) = ( 33404 × 33410) / 2
LCM(33404,33410) = 1116027640 / 2
LCM(33404,33410) = 558013820

Least Common Multiple (LCM) of 33404 and 33410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33404 and 33410. First we will calculate the prime factors of 33404 and 33410.

Prime Factorization of 33404

Prime Factorization of 33410

Now multiplying the highest exponent prime factors to calculate the LCM of 33404 and 33410.

LCM(33404,33410) = 2² × 7¹ × 1193¹ × 5¹ × 13¹ × 257¹
LCM(33404,33410) = 558013820