Least Common Multiple of 6154 and 6162
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6154 and 6162 the smallest integer that is 18960474 that is divisible by both numbers.
Least Common Multiple (LCM) of 6154 and 6162 is 18960474.
LCM(6154,6162) = 18960474
LCM of 6154 and 6162
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6154 and 6162 by Prime method
- Least Common Multiple of 6154 and 6162 with GCF Formula
LCM of 6154 and 6162 is 18960474
Least common multiple can be found by multiplying the highest exponent prime factors of 6154 and 6162. First we will calculate the prime factors of 6154 and 6162.
Prime Factorization of 6154
| 2 | 6154 |
| 17 | 3077 |
| 181 | 181 |
| 1 |
Prime factors of 6154 are 2, 17,181. Prime factorization of 6154 in exponential form is:
6154 = 21×171×1811
Prime Factorization of 6162
| 2 | 6162 |
| 3 | 3081 |
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 6162 are 2, 3, 13,79. Prime factorization of 6162 in exponential form is:
6162 = 21×31×131×791
Now multiplying the highest exponent prime factors to calculate the LCM of 6154 and 6162.
LCM(6154,6162) = 21×31×131×171×791×1811
LCM(6154,6162) = 18960474
Factors of 6154
List of positive integer factors of 6154 that divides 6154 without a remainder.
1, 2, 17, 34, 181, 362, 3077, 6154
Factors of 6162
List of positive integer factors of 6162 that divides 6162 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162
Least Common Multiple of 6154 and 6162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6154 and 6162, than apply into the LCM equation.
GCF(6154,6162) = 2
LCM(6154,6162) = ( 6154 × 6162) / 2
LCM(6154,6162) = 37920948 / 2
LCM(6154,6162) = 18960474
Properties of LCM 6154 and 6162
(i) The LCM of 6162 and 6154 is associative
LCM of 6154 and 6162 = LCM of 6162 and 6154
Related Least Common Multiples of 6154
Related Least Common Multiples of 6162
Frequently Asked Questions on LCM of 6154 and 6162
1. What is the LCM of 6154 and 6162?
Answer: LCM of 6154 and 6162 is 18960474.
2. What are the Factors of 6154?
Answer: Factors of 6154 are 1, 2, 17, 34, 181, 362, 3077, 6154. There are 8 integers that are factors of 6154. The greatest factor of 6154 is 6154.
3. What are the Factors of 6162?
Answer: Factors of 6162 are 1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162. There are 16 integers that are factors of 6162. The greatest factor of 6162 is 6162.
4. How to Find the LCM of 6154 and 6162?
Answer:
Least Common Multiple of 6154 and 6162 = 18960474
Step 1: Find the prime factorization of 6154
6154 = 2 x 17 x 181
Step 2: Find the prime factorization of 6162
6162 = 2 x 3 x 13 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18960474 = 2 x 3 x 13 x 17 x 79 x 181
Step 4: Therefore, the least common multiple of 6154 and 6162 is 18960474.