Least Common Multiple of 167 and 168

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 168 the smallest integer that is 28056 that is divisible by both numbers.

Least Common Multiple (LCM) of 167 and 168 is 28056.

LCM(167,168) = 28056

LCM of 167 and 168

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

LCM of:
and

Least Common Multiple of 167 and 168

LCM of 167 and 168 is 28056

Least common multiple can be found by multiplying the highest exponent prime factors of 167 and 168. First we will calculate the prime factors of 167 and 168.

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 168


2 168
2 84
2 42
3 21
7 7
1

Prime factors of 168 are 2, 3,7. Prime factorization of 168 in exponential form is:

168 = 23×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 167 and 168.

LCM(167,168) = 23×31×71×1671
LCM(167,168) = 28056

Factors of 167

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

1, 167

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Least Common Multiple of 167 and 168 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 168, than apply into the LCM equation.

GCF(167,168) = 1
LCM(167,168) = ( 167 × 168) / 1
LCM(167,168) = 28056 / 1
LCM(167,168) = 28056

Properties of LCM 167 and 168

(i) The LCM of 168 and 167 is associative

LCM of 167 and 168 = LCM of 168 and 167

Related Least Common Multiples of 167

Related Least Common Multiples of 168

Frequently Asked Questions on LCM of 167 and 168

1. What is the LCM of 167 and 168?

Answer: LCM of 167 and 168 is 28056.

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 168?

Answer: Factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168. There are 16 integers that are factors of 168. The greatest factor of 168 is 168.

4. How to Find the LCM of 167 and 168?

Answer:

Least Common Multiple of 167 and 168 = 28056

Step 1: Find the prime factorization of 167

167 = 167

Step 2: Find the prime factorization of 168

168 = 2 x 2 x 2 x 3 x 7

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

LCM = 28056 = 2 x 2 x 2 x 3 x 7 x 167

Step 4: Therefore, the least common multiple of 167 and 168 is 28056.