Least Common Multiple of 169 and 172

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 172 the smallest integer that is 29068 that is divisible by both numbers.

Least Common Multiple (LCM) of 169 and 172 is 29068.

LCM(169,172) = 29068

LCM of 169 and 172

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

LCM of:
and

Least Common Multiple of 169 and 172

LCM of 169 and 172 is 29068

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 172. First we will calculate the prime factors of 169 and 172.

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 172


2 172
2 86
43 43
1

Prime factors of 172 are 2,43. Prime factorization of 172 in exponential form is:

172 = 22×431

Now multiplying the highest exponent prime factors to calculate the LCM of 169 and 172.

LCM(169,172) = 22×132×431
LCM(169,172) = 29068

Factors of 169

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

1, 13, 169

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Least Common Multiple of 169 and 172 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 172, than apply into the LCM equation.

GCF(169,172) = 1
LCM(169,172) = ( 169 × 172) / 1
LCM(169,172) = 29068 / 1
LCM(169,172) = 29068

Properties of LCM 169 and 172

(i) The LCM of 172 and 169 is associative

LCM of 169 and 172 = LCM of 172 and 169

Related Least Common Multiples of 169

Related Least Common Multiples of 172

Frequently Asked Questions on LCM of 169 and 172

1. What is the LCM of 169 and 172?

Answer: LCM of 169 and 172 is 29068.

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 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. How to Find the LCM of 169 and 172?

Answer:

Least Common Multiple of 169 and 172 = 29068

Step 1: Find the prime factorization of 169

169 = 13 x 13

Step 2: Find the prime factorization of 172

172 = 2 x 2 x 43

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

LCM = 29068 = 2 x 2 x 13 x 13 x 43

Step 4: Therefore, the least common multiple of 169 and 172 is 29068.