What is the Least Common Multiple of 33966 and 33975?

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 33966 and 33975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33966 and 33975, than apply into the LCM equation.

GCF(33966,33975) = 9
LCM(33966,33975) = ( 33966 × 33975) / 9
LCM(33966,33975) = 1153994850 / 9
LCM(33966,33975) = 128221650

Least Common Multiple (LCM) of 33966 and 33975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33966 and 33975. First we will calculate the prime factors of 33966 and 33975.

Prime Factorization of 33966

Prime Factorization of 33975

Now multiplying the highest exponent prime factors to calculate the LCM of 33966 and 33975.

LCM(33966,33975) = 2¹ × 3³ × 17¹ × 37¹ × 5² × 151¹
LCM(33966,33975) = 128221650