Least Common Multiple of 6118 and 6125
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6118 and 6125 the smallest integer that is 5353250 that is divisible by both numbers.
Least Common Multiple (LCM) of 6118 and 6125 is 5353250.
LCM(6118,6125) = 5353250
LCM of 6118 and 6125
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6118 and 6125 by Prime method
- Least Common Multiple of 6118 and 6125 with GCF Formula
LCM of 6118 and 6125 is 5353250
Least common multiple can be found by multiplying the highest exponent prime factors of 6118 and 6125. First we will calculate the prime factors of 6118 and 6125.
Prime Factorization of 6118
| 2 | 6118 |
| 7 | 3059 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 6118 are 2, 7, 19,23. Prime factorization of 6118 in exponential form is:
6118 = 21×71×191×231
Prime Factorization of 6125
| 5 | 6125 |
| 5 | 1225 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 6125 are 5,7. Prime factorization of 6125 in exponential form is:
6125 = 53×72
Now multiplying the highest exponent prime factors to calculate the LCM of 6118 and 6125.
LCM(6118,6125) = 21×53×72×191×231
LCM(6118,6125) = 5353250
Factors of 6118
List of positive integer factors of 6118 that divides 6118 without a remainder.
1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118
Factors of 6125
List of positive integer factors of 6125 that divides 6125 without a remainder.
1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
Least Common Multiple of 6118 and 6125 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6118 and 6125, than apply into the LCM equation.
GCF(6118,6125) = 7
LCM(6118,6125) = ( 6118 × 6125) / 7
LCM(6118,6125) = 37472750 / 7
LCM(6118,6125) = 5353250
Properties of LCM 6118 and 6125
(i) The LCM of 6125 and 6118 is associative
LCM of 6118 and 6125 = LCM of 6125 and 6118
Related Least Common Multiples of 6118
Related Least Common Multiples of 6125
Frequently Asked Questions on LCM of 6118 and 6125
1. What is the LCM of 6118 and 6125?
Answer: LCM of 6118 and 6125 is 5353250.
2. What are the Factors of 6118?
Answer: Factors of 6118 are 1, 2, 7, 14, 19, 23, 38, 46, 133, 161, 266, 322, 437, 874, 3059, 6118. There are 16 integers that are factors of 6118. The greatest factor of 6118 is 6118.
3. What are the Factors of 6125?
Answer: Factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125. There are 12 integers that are factors of 6125. The greatest factor of 6125 is 6125.
4. How to Find the LCM of 6118 and 6125?
Answer:
Least Common Multiple of 6118 and 6125 = 5353250
Step 1: Find the prime factorization of 6118
6118 = 2 x 7 x 19 x 23
Step 2: Find the prime factorization of 6125
6125 = 5 x 5 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5353250 = 2 x 5 x 5 x 5 x 7 x 7 x 19 x 23
Step 4: Therefore, the least common multiple of 6118 and 6125 is 5353250.