Least Common Multiple of 6150 and 6155
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6150 and 6155 the smallest integer that is 7570650 that is divisible by both numbers.
Least Common Multiple (LCM) of 6150 and 6155 is 7570650.
LCM(6150,6155) = 7570650
LCM of 6150 and 6155
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6150 and 6155 by Prime method
- Least Common Multiple of 6150 and 6155 with GCF Formula
LCM of 6150 and 6155 is 7570650
Least common multiple can be found by multiplying the highest exponent prime factors of 6150 and 6155. First we will calculate the prime factors of 6150 and 6155.
Prime Factorization of 6150
| 2 | 6150 |
| 3 | 3075 |
| 5 | 1025 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 6150 are 2, 3, 5,41. Prime factorization of 6150 in exponential form is:
6150 = 21×31×52×411
Prime Factorization of 6155
| 5 | 6155 |
| 1231 | 1231 |
| 1 |
Prime factors of 6155 are 5,1231. Prime factorization of 6155 in exponential form is:
6155 = 51×12311
Now multiplying the highest exponent prime factors to calculate the LCM of 6150 and 6155.
LCM(6150,6155) = 21×31×52×411×12311
LCM(6150,6155) = 7570650
Factors of 6150
List of positive integer factors of 6150 that divides 6150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150
Factors of 6155
List of positive integer factors of 6155 that divides 6155 without a remainder.
1, 5, 1231, 6155
Least Common Multiple of 6150 and 6155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6150 and 6155, than apply into the LCM equation.
GCF(6150,6155) = 5
LCM(6150,6155) = ( 6150 × 6155) / 5
LCM(6150,6155) = 37853250 / 5
LCM(6150,6155) = 7570650
Properties of LCM 6150 and 6155
(i) The LCM of 6155 and 6150 is associative
LCM of 6150 and 6155 = LCM of 6155 and 6150
Related Least Common Multiples of 6150
Related Least Common Multiples of 6155
Frequently Asked Questions on LCM of 6150 and 6155
1. What is the LCM of 6150 and 6155?
Answer: LCM of 6150 and 6155 is 7570650.
2. What are the Factors of 6150?
Answer: Factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150. There are 24 integers that are factors of 6150. The greatest factor of 6150 is 6150.
3. What are the Factors of 6155?
Answer: Factors of 6155 are 1, 5, 1231, 6155. There are 4 integers that are factors of 6155. The greatest factor of 6155 is 6155.
4. How to Find the LCM of 6150 and 6155?
Answer:
Least Common Multiple of 6150 and 6155 = 7570650
Step 1: Find the prime factorization of 6150
6150 = 2 x 3 x 5 x 5 x 41
Step 2: Find the prime factorization of 6155
6155 = 5 x 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7570650 = 2 x 3 x 5 x 5 x 41 x 1231
Step 4: Therefore, the least common multiple of 6150 and 6155 is 7570650.