Least Common Multiple of 4753 and 4755
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4753 and 4755 the smallest integer that is 22600515 that is divisible by both numbers.
Least Common Multiple (LCM) of 4753 and 4755 is 22600515.
LCM(4753,4755) = 22600515
LCM of 4753 and 4755
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4753 and 4755 by Prime method
- Least Common Multiple of 4753 and 4755 with GCF Formula
LCM of 4753 and 4755 is 22600515
Least common multiple can be found by multiplying the highest exponent prime factors of 4753 and 4755. First we will calculate the prime factors of 4753 and 4755.
Prime Factorization of 4753
| 7 | 4753 |
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 4753 are 7,97. Prime factorization of 4753 in exponential form is:
4753 = 72×971
Prime Factorization of 4755
| 3 | 4755 |
| 5 | 1585 |
| 317 | 317 |
| 1 |
Prime factors of 4755 are 3, 5,317. Prime factorization of 4755 in exponential form is:
4755 = 31×51×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 4753 and 4755.
LCM(4753,4755) = 31×51×72×971×3171
LCM(4753,4755) = 22600515
Factors of 4753
List of positive integer factors of 4753 that divides 4753 without a remainder.
1, 7, 49, 97, 679, 4753
Factors of 4755
List of positive integer factors of 4755 that divides 4755 without a remainder.
1, 3, 5, 15, 317, 951, 1585, 4755
Least Common Multiple of 4753 and 4755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4753 and 4755, than apply into the LCM equation.
GCF(4753,4755) = 1
LCM(4753,4755) = ( 4753 × 4755) / 1
LCM(4753,4755) = 22600515 / 1
LCM(4753,4755) = 22600515
Properties of LCM 4753 and 4755
(i) The LCM of 4755 and 4753 is associative
LCM of 4753 and 4755 = LCM of 4755 and 4753
Related Least Common Multiples of 4753
Related Least Common Multiples of 4755
Frequently Asked Questions on LCM of 4753 and 4755
1. What is the LCM of 4753 and 4755?
Answer: LCM of 4753 and 4755 is 22600515.
2. What are the Factors of 4753?
Answer: Factors of 4753 are 1, 7, 49, 97, 679, 4753. There are 6 integers that are factors of 4753. The greatest factor of 4753 is 4753.
3. What are the Factors of 4755?
Answer: Factors of 4755 are 1, 3, 5, 15, 317, 951, 1585, 4755. There are 8 integers that are factors of 4755. The greatest factor of 4755 is 4755.
4. How to Find the LCM of 4753 and 4755?
Answer:
Least Common Multiple of 4753 and 4755 = 22600515
Step 1: Find the prime factorization of 4753
4753 = 7 x 7 x 97
Step 2: Find the prime factorization of 4755
4755 = 3 x 5 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22600515 = 3 x 5 x 7 x 7 x 97 x 317
Step 4: Therefore, the least common multiple of 4753 and 4755 is 22600515.