Least Common Multiple of 161 and 169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 161 and 169 the smallest integer that is 27209 that is divisible by both numbers.

Least Common Multiple (LCM) of 161 and 169 is 27209.

LCM(161,169) = 27209

LCM of 161 and 169

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

LCM of:
and

Least Common Multiple of 161 and 169

LCM of 161 and 169 is 27209

Least common multiple can be found by multiplying the highest exponent prime factors of 161 and 169. First we will calculate the prime factors of 161 and 169.

Prime Factorization of 161


7 161
23 23
1

Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:

161 = 71×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 161 and 169.

LCM(161,169) = 71×132×231
LCM(161,169) = 27209

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Factors of 169

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

1, 13, 169

Least Common Multiple of 161 and 169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 161 and 169, than apply into the LCM equation.

GCF(161,169) = 1
LCM(161,169) = ( 161 × 169) / 1
LCM(161,169) = 27209 / 1
LCM(161,169) = 27209

Properties of LCM 161 and 169

(i) The LCM of 169 and 161 is associative

LCM of 161 and 169 = LCM of 169 and 161

Related Least Common Multiples of 161

Related Least Common Multiples of 169

Frequently Asked Questions on LCM of 161 and 169

1. What is the LCM of 161 and 169?

Answer: LCM of 161 and 169 is 27209.

2. What are the Factors of 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

3. 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.

4. How to Find the LCM of 161 and 169?

Answer:

Least Common Multiple of 161 and 169 = 27209

Step 1: Find the prime factorization of 161

161 = 7 x 23

Step 2: Find the prime factorization of 169

169 = 13 x 13

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

LCM = 27209 = 7 x 13 x 13 x 23

Step 4: Therefore, the least common multiple of 161 and 169 is 27209.