Least Common Multiple of 183 and 189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 183 and 189 the smallest integer that is 11529 that is divisible by both numbers.

Least Common Multiple (LCM) of 183 and 189 is 11529.

LCM(183,189) = 11529

LCM of 183 and 189

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 183 and 189

LCM of 183 and 189 is 11529

Least common multiple can be found by multiplying the highest exponent prime factors of 183 and 189. First we will calculate the prime factors of 183 and 189.

Prime Factorization of 183


3 183
61 61
1

Prime factors of 183 are 3,61. Prime factorization of 183 in exponential form is:

183 = 31×611

Prime Factorization of 189


3 189
3 63
3 21
7 7
1

Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:

189 = 33×71

Now multiplying the highest exponent prime factors to calculate the LCM of 183 and 189.

LCM(183,189) = 33×71×611
LCM(183,189) = 11529

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Least Common Multiple of 183 and 189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 183 and 189, than apply into the LCM equation.

GCF(183,189) = 3
LCM(183,189) = ( 183 × 189) / 3
LCM(183,189) = 34587 / 3
LCM(183,189) = 11529

Properties of LCM 183 and 189

(i) The LCM of 189 and 183 is associative

LCM of 183 and 189 = LCM of 189 and 183

Related Least Common Multiples of 183

Related Least Common Multiples of 189

Frequently Asked Questions on LCM of 183 and 189

1. What is the LCM of 183 and 189?

Answer: LCM of 183 and 189 is 11529.

2. What are the Factors of 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

3. What are the Factors of 189?

Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.

4. How to Find the LCM of 183 and 189?

Answer:

Least Common Multiple of 183 and 189 = 11529

Step 1: Find the prime factorization of 183

183 = 3 x 61

Step 2: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11529 = 3 x 3 x 3 x 7 x 61

Step 4: Therefore, the least common multiple of 183 and 189 is 11529.