What is the Least Common Multiple of 33264 and 33271?

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 33271 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 33271, than apply into the LCM equation.

GCF(33264,33271) = 7
LCM(33264,33271) = ( 33264 × 33271) / 7
LCM(33264,33271) = 1106726544 / 7
LCM(33264,33271) = 158103792

Least Common Multiple (LCM) of 33264 and 33271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33264 and 33271. First we will calculate the prime factors of 33264 and 33271.

Prime Factorization of 33264

Prime Factorization of 33271

Now multiplying the highest exponent prime factors to calculate the LCM of 33264 and 33271.

LCM(33264,33271) = 2⁴ × 3³ × 7³ × 11¹ × 97¹
LCM(33264,33271) = 158103792