What is the Least Common Multiple of 33340 and 33348?

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 33348 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 33348, than apply into the LCM equation.

GCF(33340,33348) = 4
LCM(33340,33348) = ( 33340 × 33348) / 4
LCM(33340,33348) = 1111822320 / 4
LCM(33340,33348) = 277955580

Least Common Multiple (LCM) of 33340 and 33348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33340 and 33348. First we will calculate the prime factors of 33340 and 33348.

Prime Factorization of 33340

Prime Factorization of 33348

Now multiplying the highest exponent prime factors to calculate the LCM of 33340 and 33348.

LCM(33340,33348) = 2² × 5¹ × 1667¹ × 3¹ × 7¹ × 397¹
LCM(33340,33348) = 277955580