Least Common Multiple of 8149 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 8149 and 8154 the smallest integer that is 66446946 that is divisible by both numbers.
Least Common Multiple (LCM) of 8149 and 8154 is 66446946.
LCM(8149,8154) = 66446946
LCM of 8149 and 8154
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8149 and 8154 by Prime method
- Least Common Multiple of 8149 and 8154 with GCF Formula
LCM of 8149 and 8154 is 66446946
Least common multiple can be found by multiplying the highest exponent prime factors of 8149 and 8154. First we will calculate the prime factors of 8149 and 8154.
Prime Factorization of 8149
| 29 | 8149 |
| 281 | 281 |
| 1 |
Prime factors of 8149 are 29,281. Prime factorization of 8149 in exponential form is:
8149 = 291×2811
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 8149 and 8154.
LCM(8149,8154) = 21×33×291×1511×2811
LCM(8149,8154) = 66446946
Factors of 8149
List of positive integer factors of 8149 that divides 8149 without a remainder.
1, 29, 281, 8149
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 8149 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 8149 and 8154, than apply into the LCM equation.
GCF(8149,8154) = 1
LCM(8149,8154) = ( 8149 × 8154) / 1
LCM(8149,8154) = 66446946 / 1
LCM(8149,8154) = 66446946
Properties of LCM 8149 and 8154
(i) The LCM of 8154 and 8149 is associative
LCM of 8149 and 8154 = LCM of 8154 and 8149
Related Least Common Multiples of 8149
Related Least Common Multiples of 8154
Frequently Asked Questions on LCM of 8149 and 8154
1. What is the LCM of 8149 and 8154?
Answer: LCM of 8149 and 8154 is 66446946.
2. What are the Factors of 8149?
Answer: Factors of 8149 are 1, 29, 281, 8149. There are 4 integers that are factors of 8149. The greatest factor of 8149 is 8149.
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 8149 and 8154?
Answer:
Least Common Multiple of 8149 and 8154 = 66446946
Step 1: Find the prime factorization of 8149
8149 = 29 x 281
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 = 66446946 = 2 x 3 x 3 x 3 x 29 x 151 x 281
Step 4: Therefore, the least common multiple of 8149 and 8154 is 66446946.