Least Common Multiple of 166 and 172

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 172 the smallest integer that is 14276 that is divisible by both numbers.

Least Common Multiple (LCM) of 166 and 172 is 14276.

LCM(166,172) = 14276

LCM of 166 and 172

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

LCM of:
and

Least Common Multiple of 166 and 172

LCM of 166 and 172 is 14276

Least common multiple can be found by multiplying the highest exponent prime factors of 166 and 172. First we will calculate the prime factors of 166 and 172.

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 172


2 172
2 86
43 43
1

Prime factors of 172 are 2,43. Prime factorization of 172 in exponential form is:

172 = 22×431

Now multiplying the highest exponent prime factors to calculate the LCM of 166 and 172.

LCM(166,172) = 22×431×831
LCM(166,172) = 14276

Factors of 166

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

1, 2, 83, 166

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Least Common Multiple of 166 and 172 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 172, than apply into the LCM equation.

GCF(166,172) = 2
LCM(166,172) = ( 166 × 172) / 2
LCM(166,172) = 28552 / 2
LCM(166,172) = 14276

Properties of LCM 166 and 172

(i) The LCM of 172 and 166 is associative

LCM of 166 and 172 = LCM of 172 and 166

Related Least Common Multiples of 166

Related Least Common Multiples of 172

Frequently Asked Questions on LCM of 166 and 172

1. What is the LCM of 166 and 172?

Answer: LCM of 166 and 172 is 14276.

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 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. How to Find the LCM of 166 and 172?

Answer:

Least Common Multiple of 166 and 172 = 14276

Step 1: Find the prime factorization of 166

166 = 2 x 83

Step 2: Find the prime factorization of 172

172 = 2 x 2 x 43

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

LCM = 14276 = 2 x 2 x 43 x 83

Step 4: Therefore, the least common multiple of 166 and 172 is 14276.