What is the Least Common Multiple of 33156 and 33174?

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 33156 and 33174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33156 and 33174, than apply into the LCM equation.

GCF(33156,33174) = 18
LCM(33156,33174) = ( 33156 × 33174) / 18
LCM(33156,33174) = 1099917144 / 18
LCM(33156,33174) = 61106508

Least Common Multiple (LCM) of 33156 and 33174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33156 and 33174. First we will calculate the prime factors of 33156 and 33174.

Prime Factorization of 33156

Prime Factorization of 33174

Now multiplying the highest exponent prime factors to calculate the LCM of 33156 and 33174.

LCM(33156,33174) = 2² × 3³ × 307¹ × 19¹ × 97¹
LCM(33156,33174) = 61106508