Least Common Multiple of 155 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 155 and 162 the smallest integer that is 25110 that is divisible by both numbers.

Least Common Multiple (LCM) of 155 and 162 is 25110.

LCM(155,162) = 25110

LCM of 155 and 162

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

LCM of:
and

Least Common Multiple of 155 and 162

LCM of 155 and 162 is 25110

Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 162. First we will calculate the prime factors of 155 and 162.

Prime Factorization of 155


5 155
31 31
1

Prime factors of 155 are 5,31. Prime factorization of 155 in exponential form is:

155 = 51×311

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 155 and 162.

LCM(155,162) = 21×34×51×311
LCM(155,162) = 25110

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1, 5, 31, 155

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 155 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 155 and 162, than apply into the LCM equation.

GCF(155,162) = 1
LCM(155,162) = ( 155 × 162) / 1
LCM(155,162) = 25110 / 1
LCM(155,162) = 25110

Properties of LCM 155 and 162

(i) The LCM of 162 and 155 is associative

LCM of 155 and 162 = LCM of 162 and 155

Related Least Common Multiples of 155

Related Least Common Multiples of 162

Frequently Asked Questions on LCM of 155 and 162

1. What is the LCM of 155 and 162?

Answer: LCM of 155 and 162 is 25110.

2. What are the Factors of 155?

Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.

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 155 and 162?

Answer:

Least Common Multiple of 155 and 162 = 25110

Step 1: Find the prime factorization of 155

155 = 5 x 31

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 = 25110 = 2 x 3 x 3 x 3 x 3 x 5 x 31

Step 4: Therefore, the least common multiple of 155 and 162 is 25110.