Least Common Multiple of 153 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 153 and 161 the smallest integer that is 24633 that is divisible by both numbers.

Least Common Multiple (LCM) of 153 and 161 is 24633.

LCM(153,161) = 24633

LCM of 153 and 161

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

LCM of:
and

Least Common Multiple of 153 and 161

LCM of 153 and 161 is 24633

Least common multiple can be found by multiplying the highest exponent prime factors of 153 and 161. First we will calculate the prime factors of 153 and 161.

Prime Factorization of 153


3 153
3 51
17 17
1

Prime factors of 153 are 3,17. Prime factorization of 153 in exponential form is:

153 = 32×171

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 153 and 161.

LCM(153,161) = 32×71×171×231
LCM(153,161) = 24633

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Factors of 161

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

1, 7, 23, 161

Least Common Multiple of 153 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 153 and 161, than apply into the LCM equation.

GCF(153,161) = 1
LCM(153,161) = ( 153 × 161) / 1
LCM(153,161) = 24633 / 1
LCM(153,161) = 24633

Properties of LCM 153 and 161

(i) The LCM of 161 and 153 is associative

LCM of 153 and 161 = LCM of 161 and 153

Related Least Common Multiples of 153

Related Least Common Multiples of 161

Frequently Asked Questions on LCM of 153 and 161

1. What is the LCM of 153 and 161?

Answer: LCM of 153 and 161 is 24633.

2. What are the Factors of 153?

Answer: Factors of 153 are 1, 3, 9, 17, 51, 153. There are 6 integers that are factors of 153. The greatest factor of 153 is 153.

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 153 and 161?

Answer:

Least Common Multiple of 153 and 161 = 24633

Step 1: Find the prime factorization of 153

153 = 3 x 3 x 17

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 = 24633 = 3 x 3 x 7 x 17 x 23

Step 4: Therefore, the least common multiple of 153 and 161 is 24633.