What is the Least Common Multiple of 33840 and 33844?

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 33840 and 33844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33840 and 33844, than apply into the LCM equation.

GCF(33840,33844) = 4
LCM(33840,33844) = ( 33840 × 33844) / 4
LCM(33840,33844) = 1145280960 / 4
LCM(33840,33844) = 286320240

Least Common Multiple (LCM) of 33840 and 33844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33840 and 33844. First we will calculate the prime factors of 33840 and 33844.

Prime Factorization of 33840

Prime Factorization of 33844

Now multiplying the highest exponent prime factors to calculate the LCM of 33840 and 33844.

LCM(33840,33844) = 2⁴ × 3² × 5¹ × 47¹ × 8461¹
LCM(33840,33844) = 286320240