Least Common Multiple of 184 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 184 and 190 the smallest integer that is 17480 that is divisible by both numbers.

Least Common Multiple (LCM) of 184 and 190 is 17480.

LCM(184,190) = 17480

LCM of 184 and 190

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

LCM of:
and

Least Common Multiple of 184 and 190

LCM of 184 and 190 is 17480

Least common multiple can be found by multiplying the highest exponent prime factors of 184 and 190. First we will calculate the prime factors of 184 and 190.

Prime Factorization of 184


2 184
2 92
2 46
23 23
1

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

184 = 23×231

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 184 and 190.

LCM(184,190) = 23×51×191×231
LCM(184,190) = 17480

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

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 184 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 184 and 190, than apply into the LCM equation.

GCF(184,190) = 2
LCM(184,190) = ( 184 × 190) / 2
LCM(184,190) = 34960 / 2
LCM(184,190) = 17480

Properties of LCM 184 and 190

(i) The LCM of 190 and 184 is associative

LCM of 184 and 190 = LCM of 190 and 184

Related Least Common Multiples of 184

Related Least Common Multiples of 190

Frequently Asked Questions on LCM of 184 and 190

1. What is the LCM of 184 and 190?

Answer: LCM of 184 and 190 is 17480.

2. What are the Factors of 184?

Answer: Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. There are 8 integers that are factors of 184. The greatest factor of 184 is 184.

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 184 and 190?

Answer:

Least Common Multiple of 184 and 190 = 17480

Step 1: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

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 = 17480 = 2 x 2 x 2 x 5 x 19 x 23

Step 4: Therefore, the least common multiple of 184 and 190 is 17480.