What is the Least Common Multiple of 33320 and 33328?

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 33320 and 33328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33320 and 33328, than apply into the LCM equation.

GCF(33320,33328) = 8
LCM(33320,33328) = ( 33320 × 33328) / 8
LCM(33320,33328) = 1110488960 / 8
LCM(33320,33328) = 138811120

Least Common Multiple (LCM) of 33320 and 33328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33320 and 33328. First we will calculate the prime factors of 33320 and 33328.

Prime Factorization of 33320

Prime Factorization of 33328

Now multiplying the highest exponent prime factors to calculate the LCM of 33320 and 33328.

LCM(33320,33328) = 2⁴ × 5¹ × 7² × 17¹ × 2083¹
LCM(33320,33328) = 138811120