Least Common Multiple of 167 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 167 and 169 the smallest integer that is 28223 that is divisible by both numbers.

Least Common Multiple (LCM) of 167 and 169 is 28223.

LCM(167,169) = 28223

LCM of 167 and 169

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

LCM of:
and

Least Common Multiple of 167 and 169

LCM of 167 and 169 is 28223

Least common multiple can be found by multiplying the highest exponent prime factors of 167 and 169. First we will calculate the prime factors of 167 and 169.

Prime Factorization of 167


167 167
1

Prime factors of 167 are 167. Prime factorization of 167 in exponential form is:

167 = 1671

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 167 and 169.

LCM(167,169) = 132×1671
LCM(167,169) = 28223

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1, 167

Factors of 169

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

1, 13, 169

Least Common Multiple of 167 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 167 and 169, than apply into the LCM equation.

GCF(167,169) = 1
LCM(167,169) = ( 167 × 169) / 1
LCM(167,169) = 28223 / 1
LCM(167,169) = 28223

Properties of LCM 167 and 169

(i) The LCM of 169 and 167 is associative

LCM of 167 and 169 = LCM of 169 and 167

Related Least Common Multiples of 167

Related Least Common Multiples of 169

Frequently Asked Questions on LCM of 167 and 169

1. What is the LCM of 167 and 169?

Answer: LCM of 167 and 169 is 28223.

2. What are the Factors of 167?

Answer: Factors of 167 are 1, 167. There are 2 integers that are factors of 167. The greatest factor of 167 is 167.

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 167 and 169?

Answer:

Least Common Multiple of 167 and 169 = 28223

Step 1: Find the prime factorization of 167

167 = 167

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 = 28223 = 13 x 13 x 167

Step 4: Therefore, the least common multiple of 167 and 169 is 28223.