Least Common Multiple of 167 and 171

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 171 the smallest integer that is 28557 that is divisible by both numbers.

Least Common Multiple (LCM) of 167 and 171 is 28557.

LCM(167,171) = 28557

LCM of 167 and 171

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

LCM of:
and

Least Common Multiple of 167 and 171

LCM of 167 and 171 is 28557

Least common multiple can be found by multiplying the highest exponent prime factors of 167 and 171. First we will calculate the prime factors of 167 and 171.

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 171


3 171
3 57
19 19
1

Prime factors of 171 are 3,19. Prime factorization of 171 in exponential form is:

171 = 32×191

Now multiplying the highest exponent prime factors to calculate the LCM of 167 and 171.

LCM(167,171) = 32×191×1671
LCM(167,171) = 28557

Factors of 167

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

1, 167

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Least Common Multiple of 167 and 171 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 171, than apply into the LCM equation.

GCF(167,171) = 1
LCM(167,171) = ( 167 × 171) / 1
LCM(167,171) = 28557 / 1
LCM(167,171) = 28557

Properties of LCM 167 and 171

(i) The LCM of 171 and 167 is associative

LCM of 167 and 171 = LCM of 171 and 167

Related Least Common Multiples of 167

Related Least Common Multiples of 171

Frequently Asked Questions on LCM of 167 and 171

1. What is the LCM of 167 and 171?

Answer: LCM of 167 and 171 is 28557.

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 171?

Answer: Factors of 171 are 1, 3, 9, 19, 57, 171. There are 6 integers that are factors of 171. The greatest factor of 171 is 171.

4. How to Find the LCM of 167 and 171?

Answer:

Least Common Multiple of 167 and 171 = 28557

Step 1: Find the prime factorization of 167

167 = 167

Step 2: Find the prime factorization of 171

171 = 3 x 3 x 19

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

LCM = 28557 = 3 x 3 x 19 x 167

Step 4: Therefore, the least common multiple of 167 and 171 is 28557.