Least Common Multiple of 154 and 161

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 161 the smallest integer that is 3542 that is divisible by both numbers.

Least Common Multiple (LCM) of 154 and 161 is 3542.

LCM(154,161) = 3542

LCM of 154 and 161

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

LCM of:
and

Least Common Multiple of 154 and 161

LCM of 154 and 161 is 3542

Least common multiple can be found by multiplying the highest exponent prime factors of 154 and 161. First we will calculate the prime factors of 154 and 161.

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 161


7 161
23 23
1

Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:

161 = 71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 154 and 161.

LCM(154,161) = 21×71×111×231
LCM(154,161) = 3542

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 161

List of positive integer factors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Least Common Multiple of 154 and 161 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 161, than apply into the LCM equation.

GCF(154,161) = 7
LCM(154,161) = ( 154 × 161) / 7
LCM(154,161) = 24794 / 7
LCM(154,161) = 3542

Properties of LCM 154 and 161

(i) The LCM of 161 and 154 is associative

LCM of 154 and 161 = LCM of 161 and 154

Related Least Common Multiples of 154

Related Least Common Multiples of 161

Frequently Asked Questions on LCM of 154 and 161

1. What is the LCM of 154 and 161?

Answer: LCM of 154 and 161 is 3542.

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 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

4. How to Find the LCM of 154 and 161?

Answer:

Least Common Multiple of 154 and 161 = 3542

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 2: Find the prime factorization of 161

161 = 7 x 23

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

LCM = 3542 = 2 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 154 and 161 is 3542.