What is the Least Common Multiple of 33348 and 33368?

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 33348 and 33368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33348 and 33368, than apply into the LCM equation.

GCF(33348,33368) = 4
LCM(33348,33368) = ( 33348 × 33368) / 4
LCM(33348,33368) = 1112756064 / 4
LCM(33348,33368) = 278189016

Least Common Multiple (LCM) of 33348 and 33368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33348 and 33368. First we will calculate the prime factors of 33348 and 33368.

Prime Factorization of 33348

Prime Factorization of 33368

Now multiplying the highest exponent prime factors to calculate the LCM of 33348 and 33368.

LCM(33348,33368) = 2³ × 3¹ × 7¹ × 397¹ × 43¹ × 97¹
LCM(33348,33368) = 278189016