Least Common Multiple of 169 and 176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 169 and 176 the smallest integer that is 29744 that is divisible by both numbers.

Least Common Multiple (LCM) of 169 and 176 is 29744.

LCM(169,176) = 29744

LCM of 169 and 176

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

LCM of:
and

Least Common Multiple of 169 and 176

LCM of 169 and 176 is 29744

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 176. First we will calculate the prime factors of 169 and 176.

Prime Factorization of 169


13 169
13 13
1

Prime factors of 169 are 13. Prime factorization of 169 in exponential form is:

169 = 132

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

Now multiplying the highest exponent prime factors to calculate the LCM of 169 and 176.

LCM(169,176) = 24×111×132
LCM(169,176) = 29744

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1, 13, 169

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

Least Common Multiple of 169 and 176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 169 and 176, than apply into the LCM equation.

GCF(169,176) = 1
LCM(169,176) = ( 169 × 176) / 1
LCM(169,176) = 29744 / 1
LCM(169,176) = 29744

Properties of LCM 169 and 176

(i) The LCM of 176 and 169 is associative

LCM of 169 and 176 = LCM of 176 and 169

Related Least Common Multiples of 169

Related Least Common Multiples of 176

Frequently Asked Questions on LCM of 169 and 176

1. What is the LCM of 169 and 176?

Answer: LCM of 169 and 176 is 29744.

2. What are the Factors of 169?

Answer: Factors of 169 are 1, 13, 169. There are 3 integers that are factors of 169. The greatest factor of 169 is 169.

3. 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.

4. How to Find the LCM of 169 and 176?

Answer:

Least Common Multiple of 169 and 176 = 29744

Step 1: Find the prime factorization of 169

169 = 13 x 13

Step 2: Find the prime factorization of 176

176 = 2 x 2 x 2 x 2 x 11

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

LCM = 29744 = 2 x 2 x 2 x 2 x 11 x 13 x 13

Step 4: Therefore, the least common multiple of 169 and 176 is 29744.