Least Common Multiple of 6142 and 6148
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6142 and 6148 the smallest integer that is 18880508 that is divisible by both numbers.
Least Common Multiple (LCM) of 6142 and 6148 is 18880508.
LCM(6142,6148) = 18880508
LCM of 6142 and 6148
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6142 and 6148 by Prime method
- Least Common Multiple of 6142 and 6148 with GCF Formula
LCM of 6142 and 6148 is 18880508
Least common multiple can be found by multiplying the highest exponent prime factors of 6142 and 6148. First we will calculate the prime factors of 6142 and 6148.
Prime Factorization of 6142
| 2 | 6142 |
| 37 | 3071 |
| 83 | 83 |
| 1 |
Prime factors of 6142 are 2, 37,83. Prime factorization of 6142 in exponential form is:
6142 = 21×371×831
Prime Factorization of 6148
| 2 | 6148 |
| 2 | 3074 |
| 29 | 1537 |
| 53 | 53 |
| 1 |
Prime factors of 6148 are 2, 29,53. Prime factorization of 6148 in exponential form is:
6148 = 22×291×531
Now multiplying the highest exponent prime factors to calculate the LCM of 6142 and 6148.
LCM(6142,6148) = 22×291×371×531×831
LCM(6142,6148) = 18880508
Factors of 6142
List of positive integer factors of 6142 that divides 6142 without a remainder.
1, 2, 37, 74, 83, 166, 3071, 6142
Factors of 6148
List of positive integer factors of 6148 that divides 6148 without a remainder.
1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148
Least Common Multiple of 6142 and 6148 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6142 and 6148, than apply into the LCM equation.
GCF(6142,6148) = 2
LCM(6142,6148) = ( 6142 × 6148) / 2
LCM(6142,6148) = 37761016 / 2
LCM(6142,6148) = 18880508
Properties of LCM 6142 and 6148
(i) The LCM of 6148 and 6142 is associative
LCM of 6142 and 6148 = LCM of 6148 and 6142
Related Least Common Multiples of 6142
Related Least Common Multiples of 6148
Frequently Asked Questions on LCM of 6142 and 6148
1. What is the LCM of 6142 and 6148?
Answer: LCM of 6142 and 6148 is 18880508.
2. What are the Factors of 6142?
Answer: Factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142. There are 8 integers that are factors of 6142. The greatest factor of 6142 is 6142.
3. What are the Factors of 6148?
Answer: Factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148. There are 12 integers that are factors of 6148. The greatest factor of 6148 is 6148.
4. How to Find the LCM of 6142 and 6148?
Answer:
Least Common Multiple of 6142 and 6148 = 18880508
Step 1: Find the prime factorization of 6142
6142 = 2 x 37 x 83
Step 2: Find the prime factorization of 6148
6148 = 2 x 2 x 29 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18880508 = 2 x 2 x 29 x 37 x 53 x 83
Step 4: Therefore, the least common multiple of 6142 and 6148 is 18880508.