Least Common Multiple of 153 and 160

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 160 the smallest integer that is 24480 that is divisible by both numbers.

Least Common Multiple (LCM) of 153 and 160 is 24480.

LCM(153,160) = 24480

LCM of 153 and 160

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

LCM of:
and

Least Common Multiple of 153 and 160

LCM of 153 and 160 is 24480

Least common multiple can be found by multiplying the highest exponent prime factors of 153 and 160. First we will calculate the prime factors of 153 and 160.

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 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

Now multiplying the highest exponent prime factors to calculate the LCM of 153 and 160.

LCM(153,160) = 25×32×51×171
LCM(153,160) = 24480

Factors of 153

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

1, 3, 9, 17, 51, 153

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Least Common Multiple of 153 and 160 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 160, than apply into the LCM equation.

GCF(153,160) = 1
LCM(153,160) = ( 153 × 160) / 1
LCM(153,160) = 24480 / 1
LCM(153,160) = 24480

Properties of LCM 153 and 160

(i) The LCM of 160 and 153 is associative

LCM of 153 and 160 = LCM of 160 and 153

Related Least Common Multiples of 153

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 153 and 160

1. What is the LCM of 153 and 160?

Answer: LCM of 153 and 160 is 24480.

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 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

4. How to Find the LCM of 153 and 160?

Answer:

Least Common Multiple of 153 and 160 = 24480

Step 1: Find the prime factorization of 153

153 = 3 x 3 x 17

Step 2: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 24480 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 17

Step 4: Therefore, the least common multiple of 153 and 160 is 24480.