# Least Common Multiple of 184 and 201

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 (LCM) of 184 and 201 is 36984.

LCM(184,201) = 36984

LCM Calculator and

## Least Common Multiple of 184 and 201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 184 and 201, than apply into the LCM equation.

GCF(184,201) = 1
LCM(184,201) = ( 184 × 201) / 1
LCM(184,201) = 36984 / 1
LCM(184,201) = 36984

## Least Common Multiple (LCM) of 184 and 201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 184 and 201. First we will calculate the prime factors of 184 and 201.

### Prime Factorization of 184

Prime factors of 184 are 2, 23. Prime factorization of 184 in exponential form is:

184 = 23 × 231

### Prime Factorization of 201

Prime factors of 201 are 3, 67. Prime factorization of 201 in exponential form is:

201 = 31 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 184 and 201.

LCM(184,201) = 23 × 231 × 31 × 671
LCM(184,201) = 36984