What is the Least Common Multiple of 33140 and 33156?

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 33140 and 33156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33140 and 33156, than apply into the LCM equation.

GCF(33140,33156) = 4
LCM(33140,33156) = ( 33140 × 33156) / 4
LCM(33140,33156) = 1098789840 / 4
LCM(33140,33156) = 274697460

Least Common Multiple (LCM) of 33140 and 33156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33140 and 33156. First we will calculate the prime factors of 33140 and 33156.

Prime Factorization of 33140

Prime Factorization of 33156

Now multiplying the highest exponent prime factors to calculate the LCM of 33140 and 33156.

LCM(33140,33156) = 2² × 5¹ × 1657¹ × 3³ × 307¹
LCM(33140,33156) = 274697460