Least Common Multiple of 6273 and 6277
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6273 and 6277 the smallest integer that is 39375621 that is divisible by both numbers.
Least Common Multiple (LCM) of 6273 and 6277 is 39375621.
LCM(6273,6277) = 39375621
LCM of 6273 and 6277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6273 and 6277 by Prime method
- Least Common Multiple of 6273 and 6277 with GCF Formula
LCM of 6273 and 6277 is 39375621
Least common multiple can be found by multiplying the highest exponent prime factors of 6273 and 6277. First we will calculate the prime factors of 6273 and 6277.
Prime Factorization of 6273
| 3 | 6273 |
| 3 | 2091 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 6273 are 3, 17,41. Prime factorization of 6273 in exponential form is:
6273 = 32×171×411
Prime Factorization of 6277
| 6277 | 6277 |
| 1 |
Prime factors of 6277 are 6277. Prime factorization of 6277 in exponential form is:
6277 = 62771
Now multiplying the highest exponent prime factors to calculate the LCM of 6273 and 6277.
LCM(6273,6277) = 32×171×411×62771
LCM(6273,6277) = 39375621
Factors of 6273
List of positive integer factors of 6273 that divides 6273 without a remainder.
1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091, 6273
Factors of 6277
List of positive integer factors of 6277 that divides 6277 without a remainder.
1, 6277
Least Common Multiple of 6273 and 6277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6273 and 6277, than apply into the LCM equation.
GCF(6273,6277) = 1
LCM(6273,6277) = ( 6273 × 6277) / 1
LCM(6273,6277) = 39375621 / 1
LCM(6273,6277) = 39375621
Properties of LCM 6273 and 6277
(i) The LCM of 6277 and 6273 is associative
LCM of 6273 and 6277 = LCM of 6277 and 6273
Related Least Common Multiples of 6273
Related Least Common Multiples of 6277
Frequently Asked Questions on LCM of 6273 and 6277
1. What is the LCM of 6273 and 6277?
Answer: LCM of 6273 and 6277 is 39375621.
2. What are the Factors of 6273?
Answer: Factors of 6273 are 1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091, 6273. There are 12 integers that are factors of 6273. The greatest factor of 6273 is 6273.
3. What are the Factors of 6277?
Answer: Factors of 6277 are 1, 6277. There are 2 integers that are factors of 6277. The greatest factor of 6277 is 6277.
4. How to Find the LCM of 6273 and 6277?
Answer:
Least Common Multiple of 6273 and 6277 = 39375621
Step 1: Find the prime factorization of 6273
6273 = 3 x 3 x 17 x 41
Step 2: Find the prime factorization of 6277
6277 = 6277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39375621 = 3 x 3 x 17 x 41 x 6277
Step 4: Therefore, the least common multiple of 6273 and 6277 is 39375621.