What is the Least Common Multiple of 33865 and 33885?

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 33865 and 33885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33865 and 33885, than apply into the LCM equation.

GCF(33865,33885) = 5
LCM(33865,33885) = ( 33865 × 33885) / 5
LCM(33865,33885) = 1147515525 / 5
LCM(33865,33885) = 229503105

Least Common Multiple (LCM) of 33865 and 33885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33865 and 33885. First we will calculate the prime factors of 33865 and 33885.

Prime Factorization of 33865

Prime Factorization of 33885

Now multiplying the highest exponent prime factors to calculate the LCM of 33865 and 33885.

LCM(33865,33885) = 5¹ × 13¹ × 521¹ × 3³ × 251¹
LCM(33865,33885) = 229503105