Least Common Multiple of 167 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 167 and 172 the smallest integer that is 28724 that is divisible by both numbers.

Least Common Multiple (LCM) of 167 and 172 is 28724.

LCM(167,172) = 28724

LCM of 167 and 172

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

LCM of:
and

Least Common Multiple of 167 and 172

LCM of 167 and 172 is 28724

Least common multiple can be found by multiplying the highest exponent prime factors of 167 and 172. First we will calculate the prime factors of 167 and 172.

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 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 167 and 172.

LCM(167,172) = 22×431×1671
LCM(167,172) = 28724

Factors of 167

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

1, 167

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 167 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 167 and 172, than apply into the LCM equation.

GCF(167,172) = 1
LCM(167,172) = ( 167 × 172) / 1
LCM(167,172) = 28724 / 1
LCM(167,172) = 28724

Properties of LCM 167 and 172

(i) The LCM of 172 and 167 is associative

LCM of 167 and 172 = LCM of 172 and 167

Related Least Common Multiples of 167

Related Least Common Multiples of 172

Frequently Asked Questions on LCM of 167 and 172

1. What is the LCM of 167 and 172?

Answer: LCM of 167 and 172 is 28724.

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 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 167 and 172?

Answer:

Least Common Multiple of 167 and 172 = 28724

Step 1: Find the prime factorization of 167

167 = 167

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 = 28724 = 2 x 2 x 43 x 167

Step 4: Therefore, the least common multiple of 167 and 172 is 28724.