What is the Least Common Multiple of 33264 and 33278?

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 33278 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 33278, than apply into the LCM equation.

GCF(33264,33278) = 14
LCM(33264,33278) = ( 33264 × 33278) / 14
LCM(33264,33278) = 1106959392 / 14
LCM(33264,33278) = 79068528

Least Common Multiple (LCM) of 33264 and 33278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33264 and 33278. First we will calculate the prime factors of 33264 and 33278.

Prime Factorization of 33264

Prime Factorization of 33278

Now multiplying the highest exponent prime factors to calculate the LCM of 33264 and 33278.

LCM(33264,33278) = 2⁴ × 3³ × 7¹ × 11¹ × 2377¹
LCM(33264,33278) = 79068528