What is the Least Common Multiple of 33102 and 33117?

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 33102 and 33117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33102 and 33117, than apply into the LCM equation.

GCF(33102,33117) = 3
LCM(33102,33117) = ( 33102 × 33117) / 3
LCM(33102,33117) = 1096238934 / 3
LCM(33102,33117) = 365412978

Least Common Multiple (LCM) of 33102 and 33117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33102 and 33117. First we will calculate the prime factors of 33102 and 33117.

Prime Factorization of 33102

Prime Factorization of 33117

Now multiplying the highest exponent prime factors to calculate the LCM of 33102 and 33117.

LCM(33102,33117) = 2¹ × 3³ × 613¹ × 7¹ × 19¹ × 83¹
LCM(33102,33117) = 365412978