Least Common Multiple of 166 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 166 and 168 the smallest integer that is 13944 that is divisible by both numbers.

Least Common Multiple (LCM) of 166 and 168 is 13944.

LCM(166,168) = 13944

LCM of 166 and 168

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

LCM of:
and

Least Common Multiple of 166 and 168

LCM of 166 and 168 is 13944

Least common multiple can be found by multiplying the highest exponent prime factors of 166 and 168. First we will calculate the prime factors of 166 and 168.

Prime Factorization of 166


2 166
83 83
1

Prime factors of 166 are 2,83. Prime factorization of 166 in exponential form is:

166 = 21×831

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 166 and 168.

LCM(166,168) = 23×31×71×831
LCM(166,168) = 13944

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1, 2, 83, 166

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 166 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 166 and 168, than apply into the LCM equation.

GCF(166,168) = 2
LCM(166,168) = ( 166 × 168) / 2
LCM(166,168) = 27888 / 2
LCM(166,168) = 13944

Properties of LCM 166 and 168

(i) The LCM of 168 and 166 is associative

LCM of 166 and 168 = LCM of 168 and 166

Related Least Common Multiples of 166

Related Least Common Multiples of 168

Frequently Asked Questions on LCM of 166 and 168

1. What is the LCM of 166 and 168?

Answer: LCM of 166 and 168 is 13944.

2. What are the Factors of 166?

Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.

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 166 and 168?

Answer:

Least Common Multiple of 166 and 168 = 13944

Step 1: Find the prime factorization of 166

166 = 2 x 83

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 = 13944 = 2 x 2 x 2 x 3 x 7 x 83

Step 4: Therefore, the least common multiple of 166 and 168 is 13944.