Least Common Multiple of 8146 and 8154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8146 and 8154 the smallest integer that is 33211242 that is divisible by both numbers.

Least Common Multiple (LCM) of 8146 and 8154 is 33211242.

LCM(8146,8154) = 33211242

LCM of 8146 and 8154

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

LCM of:
and

Least Common Multiple of 8146 and 8154

LCM of 8146 and 8154 is 33211242

Least common multiple can be found by multiplying the highest exponent prime factors of 8146 and 8154. First we will calculate the prime factors of 8146 and 8154.

Prime Factorization of 8146


2 8146
4073 4073
1

Prime factors of 8146 are 2,4073. Prime factorization of 8146 in exponential form is:

8146 = 21×40731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8146 and 8154.

LCM(8146,8154) = 21×33×1511×40731
LCM(8146,8154) = 33211242

Factors of 8146

List of positive integer factors of 8146 that divides 8146 without a remainder.

1, 2, 4073, 8146

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

Least Common Multiple of 8146 and 8154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8146 and 8154, than apply into the LCM equation.

GCF(8146,8154) = 2
LCM(8146,8154) = ( 8146 × 8154) / 2
LCM(8146,8154) = 66422484 / 2
LCM(8146,8154) = 33211242

Properties of LCM 8146 and 8154

(i) The LCM of 8154 and 8146 is associative

LCM of 8146 and 8154 = LCM of 8154 and 8146

Related Least Common Multiples of 8146

Related Least Common Multiples of 8154

Frequently Asked Questions on LCM of 8146 and 8154

1. What is the LCM of 8146 and 8154?

Answer: LCM of 8146 and 8154 is 33211242.

2. What are the Factors of 8146?

Answer: Factors of 8146 are 1, 2, 4073, 8146. There are 4 integers that are factors of 8146. The greatest factor of 8146 is 8146.

3. 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.

4. How to Find the LCM of 8146 and 8154?

Answer:

Least Common Multiple of 8146 and 8154 = 33211242

Step 1: Find the prime factorization of 8146

8146 = 2 x 4073

Step 2: Find the prime factorization of 8154

8154 = 2 x 3 x 3 x 3 x 151

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

LCM = 33211242 = 2 x 3 x 3 x 3 x 151 x 4073

Step 4: Therefore, the least common multiple of 8146 and 8154 is 33211242.