Least Common Multiple of 6125 and 6132
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6125 and 6132 the smallest integer that is 5365500 that is divisible by both numbers.
Least Common Multiple (LCM) of 6125 and 6132 is 5365500.
LCM(6125,6132) = 5365500
LCM of 6125 and 6132
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6125 and 6132 by Prime method
- Least Common Multiple of 6125 and 6132 with GCF Formula
LCM of 6125 and 6132 is 5365500
Least common multiple can be found by multiplying the highest exponent prime factors of 6125 and 6132. First we will calculate the prime factors of 6125 and 6132.
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
Prime Factorization of 6132
| 2 | 6132 |
| 2 | 3066 |
| 3 | 1533 |
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 6132 are 2, 3, 7,73. Prime factorization of 6132 in exponential form is:
6132 = 22×31×71×731
Now multiplying the highest exponent prime factors to calculate the LCM of 6125 and 6132.
LCM(6125,6132) = 22×31×53×72×731
LCM(6125,6132) = 5365500
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
Factors of 6132
List of positive integer factors of 6132 that divides 6132 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132
Least Common Multiple of 6125 and 6132 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6125 and 6132, than apply into the LCM equation.
GCF(6125,6132) = 7
LCM(6125,6132) = ( 6125 × 6132) / 7
LCM(6125,6132) = 37558500 / 7
LCM(6125,6132) = 5365500
Properties of LCM 6125 and 6132
(i) The LCM of 6132 and 6125 is associative
LCM of 6125 and 6132 = LCM of 6132 and 6125
Related Least Common Multiples of 6125
Related Least Common Multiples of 6132
Frequently Asked Questions on LCM of 6125 and 6132
1. What is the LCM of 6125 and 6132?
Answer: LCM of 6125 and 6132 is 5365500.
2. 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.
3. What are the Factors of 6132?
Answer: Factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132. There are 24 integers that are factors of 6132. The greatest factor of 6132 is 6132.
4. How to Find the LCM of 6125 and 6132?
Answer:
Least Common Multiple of 6125 and 6132 = 5365500
Step 1: Find the prime factorization of 6125
6125 = 5 x 5 x 5 x 7 x 7
Step 2: Find the prime factorization of 6132
6132 = 2 x 2 x 3 x 7 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5365500 = 2 x 2 x 3 x 5 x 5 x 5 x 7 x 7 x 73
Step 4: Therefore, the least common multiple of 6125 and 6132 is 5365500.