What is the Least Common Multiple of 33264 and 33270?

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 33264 and 33270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33264 and 33270, than apply into the LCM equation.

GCF(33264,33270) = 6
LCM(33264,33270) = ( 33264 × 33270) / 6
LCM(33264,33270) = 1106693280 / 6
LCM(33264,33270) = 184448880

Least Common Multiple (LCM) of 33264 and 33270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33264 and 33270. First we will calculate the prime factors of 33264 and 33270.

Prime Factorization of 33264

Prime Factorization of 33270

Now multiplying the highest exponent prime factors to calculate the LCM of 33264 and 33270.

LCM(33264,33270) = 2⁴ × 3³ × 7¹ × 11¹ × 5¹ × 1109¹
LCM(33264,33270) = 184448880