Least Common Multiple of 169 and 174

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 174 the smallest integer that is 29406 that is divisible by both numbers.

Least Common Multiple (LCM) of 169 and 174 is 29406.

LCM(169,174) = 29406

LCM of 169 and 174

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

LCM of:
and

Least Common Multiple of 169 and 174

LCM of 169 and 174 is 29406

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 174. First we will calculate the prime factors of 169 and 174.

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 174


2 174
3 87
29 29
1

Prime factors of 174 are 2, 3,29. Prime factorization of 174 in exponential form is:

174 = 21×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 169 and 174.

LCM(169,174) = 21×31×132×291
LCM(169,174) = 29406

Factors of 169

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

1, 13, 169

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Least Common Multiple of 169 and 174 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 174, than apply into the LCM equation.

GCF(169,174) = 1
LCM(169,174) = ( 169 × 174) / 1
LCM(169,174) = 29406 / 1
LCM(169,174) = 29406

Properties of LCM 169 and 174

(i) The LCM of 174 and 169 is associative

LCM of 169 and 174 = LCM of 174 and 169

Related Least Common Multiples of 169

Related Least Common Multiples of 174

Frequently Asked Questions on LCM of 169 and 174

1. What is the LCM of 169 and 174?

Answer: LCM of 169 and 174 is 29406.

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 174?

Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.

4. How to Find the LCM of 169 and 174?

Answer:

Least Common Multiple of 169 and 174 = 29406

Step 1: Find the prime factorization of 169

169 = 13 x 13

Step 2: Find the prime factorization of 174

174 = 2 x 3 x 29

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

LCM = 29406 = 2 x 3 x 13 x 13 x 29

Step 4: Therefore, the least common multiple of 169 and 174 is 29406.