Least Common Multiple of 154 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 154 and 160 the smallest integer that is 12320 that is divisible by both numbers.

Least Common Multiple (LCM) of 154 and 160 is 12320.

LCM(154,160) = 12320

LCM of 154 and 160

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

LCM of:
and

Least Common Multiple of 154 and 160

LCM of 154 and 160 is 12320

Least common multiple can be found by multiplying the highest exponent prime factors of 154 and 160. First we will calculate the prime factors of 154 and 160.

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 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 154 and 160.

LCM(154,160) = 25×51×71×111
LCM(154,160) = 12320

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 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 154 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 154 and 160, than apply into the LCM equation.

GCF(154,160) = 2
LCM(154,160) = ( 154 × 160) / 2
LCM(154,160) = 24640 / 2
LCM(154,160) = 12320

Properties of LCM 154 and 160

(i) The LCM of 160 and 154 is associative

LCM of 154 and 160 = LCM of 160 and 154

Related Least Common Multiples of 154

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 154 and 160

1. What is the LCM of 154 and 160?

Answer: LCM of 154 and 160 is 12320.

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 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 154 and 160?

Answer:

Least Common Multiple of 154 and 160 = 12320

Step 1: Find the prime factorization of 154

154 = 2 x 7 x 11

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 = 12320 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 154 and 160 is 12320.