Least Common Multiple of 156 and 162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 156 and 162 the smallest integer that is 4212 that is divisible by both numbers.

Least Common Multiple (LCM) of 156 and 162 is 4212.

LCM(156,162) = 4212

LCM of 156 and 162

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

LCM of:
and

Least Common Multiple of 156 and 162

LCM of 156 and 162 is 4212

Least common multiple can be found by multiplying the highest exponent prime factors of 156 and 162. First we will calculate the prime factors of 156 and 162.

Prime Factorization of 156


2 156
2 78
3 39
13 13
1

Prime factors of 156 are 2, 3,13. Prime factorization of 156 in exponential form is:

156 = 22×31×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 156 and 162.

LCM(156,162) = 22×34×131
LCM(156,162) = 4212

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

Least Common Multiple of 156 and 162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 156 and 162, than apply into the LCM equation.

GCF(156,162) = 6
LCM(156,162) = ( 156 × 162) / 6
LCM(156,162) = 25272 / 6
LCM(156,162) = 4212

Properties of LCM 156 and 162

(i) The LCM of 162 and 156 is associative

LCM of 156 and 162 = LCM of 162 and 156

Related Least Common Multiples of 156

Related Least Common Multiples of 162

Frequently Asked Questions on LCM of 156 and 162

1. What is the LCM of 156 and 162?

Answer: LCM of 156 and 162 is 4212.

2. What are the Factors of 156?

Answer: Factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156. There are 12 integers that are factors of 156. The greatest factor of 156 is 156.

3. 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.

4. How to Find the LCM of 156 and 162?

Answer:

Least Common Multiple of 156 and 162 = 4212

Step 1: Find the prime factorization of 156

156 = 2 x 2 x 3 x 13

Step 2: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

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

LCM = 4212 = 2 x 2 x 3 x 3 x 3 x 3 x 13

Step 4: Therefore, the least common multiple of 156 and 162 is 4212.