Least Common Multiple of 158 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 158 and 160 the smallest integer that is 12640 that is divisible by both numbers.

Least Common Multiple (LCM) of 158 and 160 is 12640.

LCM(158,160) = 12640

LCM of 158 and 160

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

LCM of:
and

Least Common Multiple of 158 and 160

LCM of 158 and 160 is 12640

Least common multiple can be found by multiplying the highest exponent prime factors of 158 and 160. First we will calculate the prime factors of 158 and 160.

Prime Factorization of 158


2 158
79 79
1

Prime factors of 158 are 2,79. Prime factorization of 158 in exponential form is:

158 = 21×791

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 158 and 160.

LCM(158,160) = 25×51×791
LCM(158,160) = 12640

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1, 2, 79, 158

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 158 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 158 and 160, than apply into the LCM equation.

GCF(158,160) = 2
LCM(158,160) = ( 158 × 160) / 2
LCM(158,160) = 25280 / 2
LCM(158,160) = 12640

Properties of LCM 158 and 160

(i) The LCM of 160 and 158 is associative

LCM of 158 and 160 = LCM of 160 and 158

Related Least Common Multiples of 158

Related Least Common Multiples of 160

Frequently Asked Questions on LCM of 158 and 160

1. What is the LCM of 158 and 160?

Answer: LCM of 158 and 160 is 12640.

2. What are the Factors of 158?

Answer: Factors of 158 are 1, 2, 79, 158. There are 4 integers that are factors of 158. The greatest factor of 158 is 158.

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 158 and 160?

Answer:

Least Common Multiple of 158 and 160 = 12640

Step 1: Find the prime factorization of 158

158 = 2 x 79

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 = 12640 = 2 x 2 x 2 x 2 x 2 x 5 x 79

Step 4: Therefore, the least common multiple of 158 and 160 is 12640.