Least Common Multiple of 164 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 164 and 169 the smallest integer that is 27716 that is divisible by both numbers.

Least Common Multiple (LCM) of 164 and 169 is 27716.

LCM(164,169) = 27716

LCM of 164 and 169

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

LCM of:
and

Least Common Multiple of 164 and 169

LCM of 164 and 169 is 27716

Least common multiple can be found by multiplying the highest exponent prime factors of 164 and 169. First we will calculate the prime factors of 164 and 169.

Prime Factorization of 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

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 164 and 169.

LCM(164,169) = 22×132×411
LCM(164,169) = 27716

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Factors of 169

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

1, 13, 169

Least Common Multiple of 164 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 164 and 169, than apply into the LCM equation.

GCF(164,169) = 1
LCM(164,169) = ( 164 × 169) / 1
LCM(164,169) = 27716 / 1
LCM(164,169) = 27716

Properties of LCM 164 and 169

(i) The LCM of 169 and 164 is associative

LCM of 164 and 169 = LCM of 169 and 164

Related Least Common Multiples of 164

Related Least Common Multiples of 169

Frequently Asked Questions on LCM of 164 and 169

1. What is the LCM of 164 and 169?

Answer: LCM of 164 and 169 is 27716.

2. What are the Factors of 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

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 164 and 169?

Answer:

Least Common Multiple of 164 and 169 = 27716

Step 1: Find the prime factorization of 164

164 = 2 x 2 x 41

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 = 27716 = 2 x 2 x 13 x 13 x 41

Step 4: Therefore, the least common multiple of 164 and 169 is 27716.