Least Common Multiple of 169 and 177

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 177 the smallest integer that is 29913 that is divisible by both numbers.

Least Common Multiple (LCM) of 169 and 177 is 29913.

LCM(169,177) = 29913

LCM of 169 and 177

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

LCM of:
and

Least Common Multiple of 169 and 177

LCM of 169 and 177 is 29913

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 177. First we will calculate the prime factors of 169 and 177.

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 177


3 177
59 59
1

Prime factors of 177 are 3,59. Prime factorization of 177 in exponential form is:

177 = 31×591

Now multiplying the highest exponent prime factors to calculate the LCM of 169 and 177.

LCM(169,177) = 31×132×591
LCM(169,177) = 29913

Factors of 169

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

1, 13, 169

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Least Common Multiple of 169 and 177 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 177, than apply into the LCM equation.

GCF(169,177) = 1
LCM(169,177) = ( 169 × 177) / 1
LCM(169,177) = 29913 / 1
LCM(169,177) = 29913

Properties of LCM 169 and 177

(i) The LCM of 177 and 169 is associative

LCM of 169 and 177 = LCM of 177 and 169

Related Least Common Multiples of 169

Related Least Common Multiples of 177

Frequently Asked Questions on LCM of 169 and 177

1. What is the LCM of 169 and 177?

Answer: LCM of 169 and 177 is 29913.

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 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

4. How to Find the LCM of 169 and 177?

Answer:

Least Common Multiple of 169 and 177 = 29913

Step 1: Find the prime factorization of 169

169 = 13 x 13

Step 2: Find the prime factorization of 177

177 = 3 x 59

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

LCM = 29913 = 3 x 13 x 13 x 59

Step 4: Therefore, the least common multiple of 169 and 177 is 29913.