Least Common Multiple of 8153 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 8153 and 8154 the smallest integer that is 66479562 that is divisible by both numbers.
Least Common Multiple (LCM) of 8153 and 8154 is 66479562.
LCM(8153,8154) = 66479562
LCM of 8153 and 8154
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8153 and 8154 by Prime method
- Least Common Multiple of 8153 and 8154 with GCF Formula
LCM of 8153 and 8154 is 66479562
Least common multiple can be found by multiplying the highest exponent prime factors of 8153 and 8154. First we will calculate the prime factors of 8153 and 8154.
Prime Factorization of 8153
| 31 | 8153 |
| 263 | 263 |
| 1 |
Prime factors of 8153 are 31,263. Prime factorization of 8153 in exponential form is:
8153 = 311×2631
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 8153 and 8154.
LCM(8153,8154) = 21×33×311×1511×2631
LCM(8153,8154) = 66479562
Factors of 8153
List of positive integer factors of 8153 that divides 8153 without a remainder.
1, 31, 263, 8153
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 8153 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 8153 and 8154, than apply into the LCM equation.
GCF(8153,8154) = 1
LCM(8153,8154) = ( 8153 × 8154) / 1
LCM(8153,8154) = 66479562 / 1
LCM(8153,8154) = 66479562
Properties of LCM 8153 and 8154
(i) The LCM of 8154 and 8153 is associative
LCM of 8153 and 8154 = LCM of 8154 and 8153
Related Least Common Multiples of 8153
Related Least Common Multiples of 8154
Frequently Asked Questions on LCM of 8153 and 8154
1. What is the LCM of 8153 and 8154?
Answer: LCM of 8153 and 8154 is 66479562.
2. What are the Factors of 8153?
Answer: Factors of 8153 are 1, 31, 263, 8153. There are 4 integers that are factors of 8153. The greatest factor of 8153 is 8153.
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 8153 and 8154?
Answer:
Least Common Multiple of 8153 and 8154 = 66479562
Step 1: Find the prime factorization of 8153
8153 = 31 x 263
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 = 66479562 = 2 x 3 x 3 x 3 x 31 x 151 x 263
Step 4: Therefore, the least common multiple of 8153 and 8154 is 66479562.
