Least Common Multiple of 166 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 166 and 169 the smallest integer that is 28054 that is divisible by both numbers.

Least Common Multiple (LCM) of 166 and 169 is 28054.

LCM(166,169) = 28054

LCM of 166 and 169

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

LCM of:
and

Least Common Multiple of 166 and 169

LCM of 166 and 169 is 28054

Least common multiple can be found by multiplying the highest exponent prime factors of 166 and 169. First we will calculate the prime factors of 166 and 169.

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 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 166 and 169.

LCM(166,169) = 21×132×831
LCM(166,169) = 28054

Factors of 166

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

1, 2, 83, 166

Factors of 169

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

1, 13, 169

Least Common Multiple of 166 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 166 and 169, than apply into the LCM equation.

GCF(166,169) = 1
LCM(166,169) = ( 166 × 169) / 1
LCM(166,169) = 28054 / 1
LCM(166,169) = 28054

Properties of LCM 166 and 169

(i) The LCM of 169 and 166 is associative

LCM of 166 and 169 = LCM of 169 and 166

Related Least Common Multiples of 166

Related Least Common Multiples of 169

Frequently Asked Questions on LCM of 166 and 169

1. What is the LCM of 166 and 169?

Answer: LCM of 166 and 169 is 28054.

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 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 166 and 169?

Answer:

Least Common Multiple of 166 and 169 = 28054

Step 1: Find the prime factorization of 166

166 = 2 x 83

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 = 28054 = 2 x 13 x 13 x 83

Step 4: Therefore, the least common multiple of 166 and 169 is 28054.