Least Common Multiple of 176 and 184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 176 and 184 the smallest integer that is 4048 that is divisible by both numbers.

Least Common Multiple (LCM) of 176 and 184 is 4048.

LCM(176,184) = 4048

LCM of 176 and 184

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

LCM of:
and

Least Common Multiple of 176 and 184

LCM of 176 and 184 is 4048

Least common multiple can be found by multiplying the highest exponent prime factors of 176 and 184. First we will calculate the prime factors of 176 and 184.

Prime Factorization of 176


2 176
2 88
2 44
2 22
11 11
1

Prime factors of 176 are 2,11. Prime factorization of 176 in exponential form is:

176 = 24×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 176 and 184.

LCM(176,184) = 24×111×231
LCM(176,184) = 4048

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Factors of 184

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

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

Least Common Multiple of 176 and 184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 176 and 184, than apply into the LCM equation.

GCF(176,184) = 8
LCM(176,184) = ( 176 × 184) / 8
LCM(176,184) = 32384 / 8
LCM(176,184) = 4048

Properties of LCM 176 and 184

(i) The LCM of 184 and 176 is associative

LCM of 176 and 184 = LCM of 184 and 176

Related Least Common Multiples of 176

Related Least Common Multiples of 184

Frequently Asked Questions on LCM of 176 and 184

1. What is the LCM of 176 and 184?

Answer: LCM of 176 and 184 is 4048.

2. What are the Factors of 176?

Answer: Factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176. There are 10 integers that are factors of 176. The greatest factor of 176 is 176.

3. 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.

4. How to Find the LCM of 176 and 184?

Answer:

Least Common Multiple of 176 and 184 = 4048

Step 1: Find the prime factorization of 176

176 = 2 x 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 184

184 = 2 x 2 x 2 x 23

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

LCM = 4048 = 2 x 2 x 2 x 2 x 11 x 23

Step 4: Therefore, the least common multiple of 176 and 184 is 4048.