Least Common Multiple of 154 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 154 and 162 the smallest integer that is 12474 that is divisible by both numbers.

Least Common Multiple (LCM) of 154 and 162 is 12474.

LCM(154,162) = 12474

LCM of 154 and 162

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

LCM of:
and

Least Common Multiple of 154 and 162

LCM of 154 and 162 is 12474

Least common multiple can be found by multiplying the highest exponent prime factors of 154 and 162. First we will calculate the prime factors of 154 and 162.

Prime Factorization of 154


2 154
7 77
11 11
1

Prime factors of 154 are 2, 7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

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 154 and 162.

LCM(154,162) = 21×34×71×111
LCM(154,162) = 12474

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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 154 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 154 and 162, than apply into the LCM equation.

GCF(154,162) = 2
LCM(154,162) = ( 154 × 162) / 2
LCM(154,162) = 24948 / 2
LCM(154,162) = 12474

Properties of LCM 154 and 162

(i) The LCM of 162 and 154 is associative

LCM of 154 and 162 = LCM of 162 and 154

Related Least Common Multiples of 154

Related Least Common Multiples of 162

Frequently Asked Questions on LCM of 154 and 162

1. What is the LCM of 154 and 162?

Answer: LCM of 154 and 162 is 12474.

2. What are the Factors of 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

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 154 and 162?

Answer:

Least Common Multiple of 154 and 162 = 12474

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

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 = 12474 = 2 x 3 x 3 x 3 x 3 x 7 x 11

Step 4: Therefore, the least common multiple of 154 and 162 is 12474.