Least Common Multiple of 183 and 188

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 188 the smallest integer that is 34404 that is divisible by both numbers.

Least Common Multiple (LCM) of 183 and 188 is 34404.

LCM(183,188) = 34404

LCM of 183 and 188

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

LCM of:
and

Least Common Multiple of 183 and 188

LCM of 183 and 188 is 34404

Least common multiple can be found by multiplying the highest exponent prime factors of 183 and 188. First we will calculate the prime factors of 183 and 188.

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 188


2 188
2 94
47 47
1

Prime factors of 188 are 2,47. Prime factorization of 188 in exponential form is:

188 = 22×471

Now multiplying the highest exponent prime factors to calculate the LCM of 183 and 188.

LCM(183,188) = 22×31×471×611
LCM(183,188) = 34404

Factors of 183

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

1, 3, 61, 183

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Least Common Multiple of 183 and 188 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 188, than apply into the LCM equation.

GCF(183,188) = 1
LCM(183,188) = ( 183 × 188) / 1
LCM(183,188) = 34404 / 1
LCM(183,188) = 34404

Properties of LCM 183 and 188

(i) The LCM of 188 and 183 is associative

LCM of 183 and 188 = LCM of 188 and 183

Related Least Common Multiples of 183

Related Least Common Multiples of 188

Frequently Asked Questions on LCM of 183 and 188

1. What is the LCM of 183 and 188?

Answer: LCM of 183 and 188 is 34404.

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 188?

Answer: Factors of 188 are 1, 2, 4, 47, 94, 188. There are 6 integers that are factors of 188. The greatest factor of 188 is 188.

4. How to Find the LCM of 183 and 188?

Answer:

Least Common Multiple of 183 and 188 = 34404

Step 1: Find the prime factorization of 183

183 = 3 x 61

Step 2: Find the prime factorization of 188

188 = 2 x 2 x 47

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

LCM = 34404 = 2 x 2 x 3 x 47 x 61

Step 4: Therefore, the least common multiple of 183 and 188 is 34404.