Least Common Multiple of 155 and 158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 155 and 158 the smallest integer that is 24490 that is divisible by both numbers.

Least Common Multiple (LCM) of 155 and 158 is 24490.

LCM(155,158) = 24490

LCM of 155 and 158

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

LCM of:
and

Least Common Multiple of 155 and 158

LCM of 155 and 158 is 24490

Least common multiple can be found by multiplying the highest exponent prime factors of 155 and 158. First we will calculate the prime factors of 155 and 158.

Prime Factorization of 155


5 155
31 31
1

Prime factors of 155 are 5,31. Prime factorization of 155 in exponential form is:

155 = 51×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 155 and 158.

LCM(155,158) = 21×51×311×791
LCM(155,158) = 24490

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Factors of 158

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

1, 2, 79, 158

Least Common Multiple of 155 and 158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 155 and 158, than apply into the LCM equation.

GCF(155,158) = 1
LCM(155,158) = ( 155 × 158) / 1
LCM(155,158) = 24490 / 1
LCM(155,158) = 24490

Properties of LCM 155 and 158

(i) The LCM of 158 and 155 is associative

LCM of 155 and 158 = LCM of 158 and 155

Related Least Common Multiples of 155

Related Least Common Multiples of 158

Frequently Asked Questions on LCM of 155 and 158

1. What is the LCM of 155 and 158?

Answer: LCM of 155 and 158 is 24490.

2. What are the Factors of 155?

Answer: Factors of 155 are 1, 5, 31, 155. There are 4 integers that are factors of 155. The greatest factor of 155 is 155.

3. 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.

4. How to Find the LCM of 155 and 158?

Answer:

Least Common Multiple of 155 and 158 = 24490

Step 1: Find the prime factorization of 155

155 = 5 x 31

Step 2: Find the prime factorization of 158

158 = 2 x 79

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

LCM = 24490 = 2 x 5 x 31 x 79

Step 4: Therefore, the least common multiple of 155 and 158 is 24490.