What is the Least Common Multiple of 33656 and 33669?

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 33656 and 33669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33656 and 33669, than apply into the LCM equation.

GCF(33656,33669) = 1
LCM(33656,33669) = ( 33656 × 33669) / 1
LCM(33656,33669) = 1133163864 / 1
LCM(33656,33669) = 1133163864

Least Common Multiple (LCM) of 33656 and 33669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33656 and 33669. First we will calculate the prime factors of 33656 and 33669.

Prime Factorization of 33656

Prime Factorization of 33669

Now multiplying the highest exponent prime factors to calculate the LCM of 33656 and 33669.

LCM(33656,33669) = 2³ × 7¹ × 601¹ × 3³ × 29¹ × 43¹
LCM(33656,33669) = 1133163864