What is the Least Common Multiple of 33432 and 33439?

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 33432 and 33439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33432 and 33439, than apply into the LCM equation.

GCF(33432,33439) = 7
LCM(33432,33439) = ( 33432 × 33439) / 7
LCM(33432,33439) = 1117932648 / 7
LCM(33432,33439) = 159704664

Least Common Multiple (LCM) of 33432 and 33439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33432 and 33439. First we will calculate the prime factors of 33432 and 33439.

Prime Factorization of 33432

Prime Factorization of 33439

Now multiplying the highest exponent prime factors to calculate the LCM of 33432 and 33439.

LCM(33432,33439) = 2³ × 3¹ × 7¹ × 199¹ × 17¹ × 281¹
LCM(33432,33439) = 159704664