What is the Least Common Multiple of 33374 and 33389?

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 33374 and 33389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33374 and 33389, than apply into the LCM equation.

GCF(33374,33389) = 1
LCM(33374,33389) = ( 33374 × 33389) / 1
LCM(33374,33389) = 1114324486 / 1
LCM(33374,33389) = 1114324486

Least Common Multiple (LCM) of 33374 and 33389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33374 and 33389. First we will calculate the prime factors of 33374 and 33389.

Prime Factorization of 33374

Prime Factorization of 33389

Now multiplying the highest exponent prime factors to calculate the LCM of 33374 and 33389.

LCM(33374,33389) = 2¹ × 11¹ × 37¹ × 41¹ × 173¹ × 193¹
LCM(33374,33389) = 1114324486