Least Common Multiple of 162 and 167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 162 and 167 the smallest integer that is 27054 that is divisible by both numbers.

Least Common Multiple (LCM) of 162 and 167 is 27054.

LCM(162,167) = 27054

LCM of 162 and 167

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

LCM of:
and

Least Common Multiple of 162 and 167

LCM of 162 and 167 is 27054

Least common multiple can be found by multiplying the highest exponent prime factors of 162 and 167. First we will calculate the prime factors of 162 and 167.

Prime Factorization of 162


2 162
3 81
3 27
3 9
3 3
1

Prime factors of 162 are 2,3. Prime factorization of 162 in exponential form is:

162 = 21×34

Prime Factorization of 167


167 167
1

Prime factors of 167 are 167. Prime factorization of 167 in exponential form is:

167 = 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 162 and 167.

LCM(162,167) = 21×34×1671
LCM(162,167) = 27054

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Factors of 167

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

1, 167

Least Common Multiple of 162 and 167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 162 and 167, than apply into the LCM equation.

GCF(162,167) = 1
LCM(162,167) = ( 162 × 167) / 1
LCM(162,167) = 27054 / 1
LCM(162,167) = 27054

Properties of LCM 162 and 167

(i) The LCM of 167 and 162 is associative

LCM of 162 and 167 = LCM of 167 and 162

Related Least Common Multiples of 162

Related Least Common Multiples of 167

Frequently Asked Questions on LCM of 162 and 167

1. What is the LCM of 162 and 167?

Answer: LCM of 162 and 167 is 27054.

2. What are the Factors of 162?

Answer: Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.

3. 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.

4. How to Find the LCM of 162 and 167?

Answer:

Least Common Multiple of 162 and 167 = 27054

Step 1: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 167

167 = 167

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

LCM = 27054 = 2 x 3 x 3 x 3 x 3 x 167

Step 4: Therefore, the least common multiple of 162 and 167 is 27054.