Least Common Multiple of 153 and 154

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 154 the smallest integer that is 23562 that is divisible by both numbers.

Least Common Multiple (LCM) of 153 and 154 is 23562.

LCM(153,154) = 23562

LCM of 153 and 154

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

LCM of:
and

Least Common Multiple of 153 and 154

LCM of 153 and 154 is 23562

Least common multiple can be found by multiplying the highest exponent prime factors of 153 and 154. First we will calculate the prime factors of 153 and 154.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 153 and 154.

LCM(153,154) = 21×32×71×111×171
LCM(153,154) = 23562

Factors of 153

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

1, 3, 9, 17, 51, 153

Factors of 154

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

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

Least Common Multiple of 153 and 154 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 154, than apply into the LCM equation.

GCF(153,154) = 1
LCM(153,154) = ( 153 × 154) / 1
LCM(153,154) = 23562 / 1
LCM(153,154) = 23562

Properties of LCM 153 and 154

(i) The LCM of 154 and 153 is associative

LCM of 153 and 154 = LCM of 154 and 153

Related Least Common Multiples of 153

Related Least Common Multiples of 154

Frequently Asked Questions on LCM of 153 and 154

1. What is the LCM of 153 and 154?

Answer: LCM of 153 and 154 is 23562.

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 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.

4. How to Find the LCM of 153 and 154?

Answer:

Least Common Multiple of 153 and 154 = 23562

Step 1: Find the prime factorization of 153

153 = 3 x 3 x 17

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

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

LCM = 23562 = 2 x 3 x 3 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 153 and 154 is 23562.