What is the Least Common Multiple of 33084 and 33100?

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 33084 and 33100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33084 and 33100, than apply into the LCM equation.

GCF(33084,33100) = 4
LCM(33084,33100) = ( 33084 × 33100) / 4
LCM(33084,33100) = 1095080400 / 4
LCM(33084,33100) = 273770100

Least Common Multiple (LCM) of 33084 and 33100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33084 and 33100. First we will calculate the prime factors of 33084 and 33100.

Prime Factorization of 33084

Prime Factorization of 33100

Now multiplying the highest exponent prime factors to calculate the LCM of 33084 and 33100.

LCM(33084,33100) = 2² × 3² × 919¹ × 5² × 331¹
LCM(33084,33100) = 273770100