Least Common Multiple of 8154 and 8158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8154 and 8158 the smallest integer that is 33260166 that is divisible by both numbers.

Least Common Multiple (LCM) of 8154 and 8158 is 33260166.

LCM(8154,8158) = 33260166

LCM of 8154 and 8158

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

LCM of:
and

Least Common Multiple of 8154 and 8158

LCM of 8154 and 8158 is 33260166

Least common multiple can be found by multiplying the highest exponent prime factors of 8154 and 8158. First we will calculate the prime factors of 8154 and 8158.

Prime Factorization of 8154


2 8154
3 4077
3 1359
3 453
151 151
1

Prime factors of 8154 are 2, 3,151. Prime factorization of 8154 in exponential form is:

8154 = 21×33×1511

Prime Factorization of 8158


2 8158
4079 4079
1

Prime factors of 8158 are 2,4079. Prime factorization of 8158 in exponential form is:

8158 = 21×40791

Now multiplying the highest exponent prime factors to calculate the LCM of 8154 and 8158.

LCM(8154,8158) = 21×33×1511×40791
LCM(8154,8158) = 33260166

Factors of 8154

List of positive integer factors of 8154 that divides 8154 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154

Factors of 8158

List of positive integer factors of 8158 that divides 8158 without a remainder.

1, 2, 4079, 8158

Least Common Multiple of 8154 and 8158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8154 and 8158, than apply into the LCM equation.

GCF(8154,8158) = 2
LCM(8154,8158) = ( 8154 × 8158) / 2
LCM(8154,8158) = 66520332 / 2
LCM(8154,8158) = 33260166

Properties of LCM 8154 and 8158

(i) The LCM of 8158 and 8154 is associative

LCM of 8154 and 8158 = LCM of 8158 and 8154

Related Least Common Multiples of 8154

Related Least Common Multiples of 8158

Frequently Asked Questions on LCM of 8154 and 8158

1. What is the LCM of 8154 and 8158?

Answer: LCM of 8154 and 8158 is 33260166.

2. What are the Factors of 8154?

Answer: Factors of 8154 are 1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154. There are 16 integers that are factors of 8154. The greatest factor of 8154 is 8154.

3. What are the Factors of 8158?

Answer: Factors of 8158 are 1, 2, 4079, 8158. There are 4 integers that are factors of 8158. The greatest factor of 8158 is 8158.

4. How to Find the LCM of 8154 and 8158?

Answer:

Least Common Multiple of 8154 and 8158 = 33260166

Step 1: Find the prime factorization of 8154

8154 = 2 x 3 x 3 x 3 x 151

Step 2: Find the prime factorization of 8158

8158 = 2 x 4079

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

LCM = 33260166 = 2 x 3 x 3 x 3 x 151 x 4079

Step 4: Therefore, the least common multiple of 8154 and 8158 is 33260166.