Least Common Multiple of 183 and 187

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 187 the smallest integer that is 34221 that is divisible by both numbers.

Least Common Multiple (LCM) of 183 and 187 is 34221.

LCM(183,187) = 34221

LCM of 183 and 187

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

LCM of:
and

Least Common Multiple of 183 and 187

LCM of 183 and 187 is 34221

Least common multiple can be found by multiplying the highest exponent prime factors of 183 and 187. First we will calculate the prime factors of 183 and 187.

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 187


11 187
17 17
1

Prime factors of 187 are 11,17. Prime factorization of 187 in exponential form is:

187 = 111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 183 and 187.

LCM(183,187) = 31×111×171×611
LCM(183,187) = 34221

Factors of 183

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

1, 3, 61, 183

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Least Common Multiple of 183 and 187 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 187, than apply into the LCM equation.

GCF(183,187) = 1
LCM(183,187) = ( 183 × 187) / 1
LCM(183,187) = 34221 / 1
LCM(183,187) = 34221

Properties of LCM 183 and 187

(i) The LCM of 187 and 183 is associative

LCM of 183 and 187 = LCM of 187 and 183

Related Least Common Multiples of 183

Related Least Common Multiples of 187

Frequently Asked Questions on LCM of 183 and 187

1. What is the LCM of 183 and 187?

Answer: LCM of 183 and 187 is 34221.

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 187?

Answer: Factors of 187 are 1, 11, 17, 187. There are 4 integers that are factors of 187. The greatest factor of 187 is 187.

4. How to Find the LCM of 183 and 187?

Answer:

Least Common Multiple of 183 and 187 = 34221

Step 1: Find the prime factorization of 183

183 = 3 x 61

Step 2: Find the prime factorization of 187

187 = 11 x 17

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

LCM = 34221 = 3 x 11 x 17 x 61

Step 4: Therefore, the least common multiple of 183 and 187 is 34221.