What is the Least Common Multiple of 33340 and 33354?

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 33340 and 33354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33340 and 33354, than apply into the LCM equation.

GCF(33340,33354) = 2
LCM(33340,33354) = ( 33340 × 33354) / 2
LCM(33340,33354) = 1112022360 / 2
LCM(33340,33354) = 556011180

Least Common Multiple (LCM) of 33340 and 33354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33340 and 33354. First we will calculate the prime factors of 33340 and 33354.

Prime Factorization of 33340

Prime Factorization of 33354

Now multiplying the highest exponent prime factors to calculate the LCM of 33340 and 33354.

LCM(33340,33354) = 2² × 5¹ × 1667¹ × 3² × 17¹ × 109¹
LCM(33340,33354) = 556011180