Least Common Multiple of 154 and 155

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 155 the smallest integer that is 23870 that is divisible by both numbers.

Least Common Multiple (LCM) of 154 and 155 is 23870.

LCM(154,155) = 23870

LCM of 154 and 155

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

LCM of:
and

Least Common Multiple of 154 and 155

LCM of 154 and 155 is 23870

Least common multiple can be found by multiplying the highest exponent prime factors of 154 and 155. First we will calculate the prime factors of 154 and 155.

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 155


5 155
31 31
1

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

155 = 51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 154 and 155.

LCM(154,155) = 21×51×71×111×311
LCM(154,155) = 23870

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 155

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

1, 5, 31, 155

Least Common Multiple of 154 and 155 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 155, than apply into the LCM equation.

GCF(154,155) = 1
LCM(154,155) = ( 154 × 155) / 1
LCM(154,155) = 23870 / 1
LCM(154,155) = 23870

Properties of LCM 154 and 155

(i) The LCM of 155 and 154 is associative

LCM of 154 and 155 = LCM of 155 and 154

Frequently Asked Questions on LCM of 154 and 155

1. What is the LCM of 154 and 155?

Answer: LCM of 154 and 155 is 23870.

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 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.

4. How to Find the LCM of 154 and 155?

Answer:

Least Common Multiple of 154 and 155 = 23870

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 2: Find the prime factorization of 155

155 = 5 x 31

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

LCM = 23870 = 2 x 5 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 154 and 155 is 23870.