What is the Least Common Multiple of 33849 and 33865?

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 33849 and 33865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33849 and 33865, than apply into the LCM equation.

GCF(33849,33865) = 1
LCM(33849,33865) = ( 33849 × 33865) / 1
LCM(33849,33865) = 1146296385 / 1
LCM(33849,33865) = 1146296385

Least Common Multiple (LCM) of 33849 and 33865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33849 and 33865. First we will calculate the prime factors of 33849 and 33865.

Prime Factorization of 33849

Prime Factorization of 33865

Now multiplying the highest exponent prime factors to calculate the LCM of 33849 and 33865.

LCM(33849,33865) = 3² × 3761¹ × 5¹ × 13¹ × 521¹
LCM(33849,33865) = 1146296385