Least Common Multiple of 167 and 173

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 173 the smallest integer that is 28891 that is divisible by both numbers.

Least Common Multiple (LCM) of 167 and 173 is 28891.

LCM(167,173) = 28891

LCM of 167 and 173

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

LCM of:
and

Least Common Multiple of 167 and 173

LCM of 167 and 173 is 28891

Least common multiple can be found by multiplying the highest exponent prime factors of 167 and 173. First we will calculate the prime factors of 167 and 173.

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 173


173 173
1

Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:

173 = 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 167 and 173.

LCM(167,173) = 1671×1731
LCM(167,173) = 28891

Factors of 167

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

1, 167

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1, 173

Least Common Multiple of 167 and 173 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 173, than apply into the LCM equation.

GCF(167,173) = 1
LCM(167,173) = ( 167 × 173) / 1
LCM(167,173) = 28891 / 1
LCM(167,173) = 28891

Properties of LCM 167 and 173

(i) The LCM of 173 and 167 is associative

LCM of 167 and 173 = LCM of 173 and 167

Related Least Common Multiples of 167

Related Least Common Multiples of 173

Frequently Asked Questions on LCM of 167 and 173

1. What is the LCM of 167 and 173?

Answer: LCM of 167 and 173 is 28891.

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 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

4. How to Find the LCM of 167 and 173?

Answer:

Least Common Multiple of 167 and 173 = 28891

Step 1: Find the prime factorization of 167

167 = 167

Step 2: Find the prime factorization of 173

173 = 173

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

LCM = 28891 = 167 x 173

Step 4: Therefore, the least common multiple of 167 and 173 is 28891.