What is the Least Common Multiple of 33180 and 33184?

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 33180 and 33184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33180 and 33184, than apply into the LCM equation.

GCF(33180,33184) = 4
LCM(33180,33184) = ( 33180 × 33184) / 4
LCM(33180,33184) = 1101045120 / 4
LCM(33180,33184) = 275261280

Least Common Multiple (LCM) of 33180 and 33184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33180 and 33184. First we will calculate the prime factors of 33180 and 33184.

Prime Factorization of 33180

Prime Factorization of 33184

Now multiplying the highest exponent prime factors to calculate the LCM of 33180 and 33184.

LCM(33180,33184) = 2⁵ × 3¹ × 5¹ × 7¹ × 79¹ × 17¹ × 61¹
LCM(33180,33184) = 275261280