What is the Least Common Multiple of 33865 and 33880?

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 33880 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 33880, than apply into the LCM equation.

GCF(33865,33880) = 5
LCM(33865,33880) = ( 33865 × 33880) / 5
LCM(33865,33880) = 1147346200 / 5
LCM(33865,33880) = 229469240

Least Common Multiple (LCM) of 33865 and 33880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33865 and 33880. First we will calculate the prime factors of 33865 and 33880.

Prime Factorization of 33865

Prime Factorization of 33880

Now multiplying the highest exponent prime factors to calculate the LCM of 33865 and 33880.

LCM(33865,33880) = 5¹ × 13¹ × 521¹ × 2³ × 7¹ × 11²
LCM(33865,33880) = 229469240