Least Common Multiple of 183 and 190

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 190 the smallest integer that is 34770 that is divisible by both numbers.

Least Common Multiple (LCM) of 183 and 190 is 34770.

LCM(183,190) = 34770

LCM of 183 and 190

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

LCM of:
and

Least Common Multiple of 183 and 190

LCM of 183 and 190 is 34770

Least common multiple can be found by multiplying the highest exponent prime factors of 183 and 190. First we will calculate the prime factors of 183 and 190.

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 190


2 190
5 95
19 19
1

Prime factors of 190 are 2, 5,19. Prime factorization of 190 in exponential form is:

190 = 21×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 183 and 190.

LCM(183,190) = 21×31×51×191×611
LCM(183,190) = 34770

Factors of 183

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

1, 3, 61, 183

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Least Common Multiple of 183 and 190 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 190, than apply into the LCM equation.

GCF(183,190) = 1
LCM(183,190) = ( 183 × 190) / 1
LCM(183,190) = 34770 / 1
LCM(183,190) = 34770

Properties of LCM 183 and 190

(i) The LCM of 190 and 183 is associative

LCM of 183 and 190 = LCM of 190 and 183

Related Least Common Multiples of 183

Related Least Common Multiples of 190

Frequently Asked Questions on LCM of 183 and 190

1. What is the LCM of 183 and 190?

Answer: LCM of 183 and 190 is 34770.

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 190?

Answer: Factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190. There are 8 integers that are factors of 190. The greatest factor of 190 is 190.

4. How to Find the LCM of 183 and 190?

Answer:

Least Common Multiple of 183 and 190 = 34770

Step 1: Find the prime factorization of 183

183 = 3 x 61

Step 2: Find the prime factorization of 190

190 = 2 x 5 x 19

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

LCM = 34770 = 2 x 3 x 5 x 19 x 61

Step 4: Therefore, the least common multiple of 183 and 190 is 34770.