Least Common Multiple of 169 and 175

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 175 the smallest integer that is 29575 that is divisible by both numbers.

Least Common Multiple (LCM) of 169 and 175 is 29575.

LCM(169,175) = 29575

LCM of 169 and 175

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

LCM of:
and

Least Common Multiple of 169 and 175

LCM of 169 and 175 is 29575

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 175. First we will calculate the prime factors of 169 and 175.

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 175


5 175
5 35
7 7
1

Prime factors of 175 are 5,7. Prime factorization of 175 in exponential form is:

175 = 52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 169 and 175.

LCM(169,175) = 52×71×132
LCM(169,175) = 29575

Factors of 169

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

1, 13, 169

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Least Common Multiple of 169 and 175 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 175, than apply into the LCM equation.

GCF(169,175) = 1
LCM(169,175) = ( 169 × 175) / 1
LCM(169,175) = 29575 / 1
LCM(169,175) = 29575

Properties of LCM 169 and 175

(i) The LCM of 175 and 169 is associative

LCM of 169 and 175 = LCM of 175 and 169

Related Least Common Multiples of 169

Related Least Common Multiples of 175

Frequently Asked Questions on LCM of 169 and 175

1. What is the LCM of 169 and 175?

Answer: LCM of 169 and 175 is 29575.

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 175?

Answer: Factors of 175 are 1, 5, 7, 25, 35, 175. There are 6 integers that are factors of 175. The greatest factor of 175 is 175.

4. How to Find the LCM of 169 and 175?

Answer:

Least Common Multiple of 169 and 175 = 29575

Step 1: Find the prime factorization of 169

169 = 13 x 13

Step 2: Find the prime factorization of 175

175 = 5 x 5 x 7

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

LCM = 29575 = 5 x 5 x 7 x 13 x 13

Step 4: Therefore, the least common multiple of 169 and 175 is 29575.