Least Common Multiple of 158 and 164

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 164 the smallest integer that is 12956 that is divisible by both numbers.

Least Common Multiple (LCM) of 158 and 164 is 12956.

LCM(158,164) = 12956

LCM of 158 and 164

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

LCM of:
and

Least Common Multiple of 158 and 164

LCM of 158 and 164 is 12956

Least common multiple can be found by multiplying the highest exponent prime factors of 158 and 164. First we will calculate the prime factors of 158 and 164.

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 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

Now multiplying the highest exponent prime factors to calculate the LCM of 158 and 164.

LCM(158,164) = 22×411×791
LCM(158,164) = 12956

Factors of 158

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

1, 2, 79, 158

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Least Common Multiple of 158 and 164 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 164, than apply into the LCM equation.

GCF(158,164) = 2
LCM(158,164) = ( 158 × 164) / 2
LCM(158,164) = 25912 / 2
LCM(158,164) = 12956

Properties of LCM 158 and 164

(i) The LCM of 164 and 158 is associative

LCM of 158 and 164 = LCM of 164 and 158

Related Least Common Multiples of 158

Related Least Common Multiples of 164

Frequently Asked Questions on LCM of 158 and 164

1. What is the LCM of 158 and 164?

Answer: LCM of 158 and 164 is 12956.

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 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

4. How to Find the LCM of 158 and 164?

Answer:

Least Common Multiple of 158 and 164 = 12956

Step 1: Find the prime factorization of 158

158 = 2 x 79

Step 2: Find the prime factorization of 164

164 = 2 x 2 x 41

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

LCM = 12956 = 2 x 2 x 41 x 79

Step 4: Therefore, the least common multiple of 158 and 164 is 12956.