Least Common Multiple of 4707 and 4715
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4707 and 4715 the smallest integer that is 22193505 that is divisible by both numbers.
Least Common Multiple (LCM) of 4707 and 4715 is 22193505.
LCM(4707,4715) = 22193505
LCM of 4707 and 4715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4707 and 4715 by Prime method
- Least Common Multiple of 4707 and 4715 with GCF Formula
LCM of 4707 and 4715 is 22193505
Least common multiple can be found by multiplying the highest exponent prime factors of 4707 and 4715. First we will calculate the prime factors of 4707 and 4715.
Prime Factorization of 4707
| 3 | 4707 |
| 3 | 1569 |
| 523 | 523 |
| 1 |
Prime factors of 4707 are 3,523. Prime factorization of 4707 in exponential form is:
4707 = 32×5231
Prime Factorization of 4715
| 5 | 4715 |
| 23 | 943 |
| 41 | 41 |
| 1 |
Prime factors of 4715 are 5, 23,41. Prime factorization of 4715 in exponential form is:
4715 = 51×231×411
Now multiplying the highest exponent prime factors to calculate the LCM of 4707 and 4715.
LCM(4707,4715) = 32×51×231×411×5231
LCM(4707,4715) = 22193505
Factors of 4707
List of positive integer factors of 4707 that divides 4707 without a remainder.
1, 3, 9, 523, 1569, 4707
Factors of 4715
List of positive integer factors of 4715 that divides 4715 without a remainder.
1, 5, 23, 41, 115, 205, 943, 4715
Least Common Multiple of 4707 and 4715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4707 and 4715, than apply into the LCM equation.
GCF(4707,4715) = 1
LCM(4707,4715) = ( 4707 × 4715) / 1
LCM(4707,4715) = 22193505 / 1
LCM(4707,4715) = 22193505
Properties of LCM 4707 and 4715
(i) The LCM of 4715 and 4707 is associative
LCM of 4707 and 4715 = LCM of 4715 and 4707
Related Least Common Multiples of 4707
Related Least Common Multiples of 4715
Frequently Asked Questions on LCM of 4707 and 4715
1. What is the LCM of 4707 and 4715?
Answer: LCM of 4707 and 4715 is 22193505.
2. What are the Factors of 4707?
Answer: Factors of 4707 are 1, 3, 9, 523, 1569, 4707. There are 6 integers that are factors of 4707. The greatest factor of 4707 is 4707.
3. What are the Factors of 4715?
Answer: Factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715. There are 8 integers that are factors of 4715. The greatest factor of 4715 is 4715.
4. How to Find the LCM of 4707 and 4715?
Answer:
Least Common Multiple of 4707 and 4715 = 22193505
Step 1: Find the prime factorization of 4707
4707 = 3 x 3 x 523
Step 2: Find the prime factorization of 4715
4715 = 5 x 23 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22193505 = 3 x 3 x 5 x 23 x 41 x 523
Step 4: Therefore, the least common multiple of 4707 and 4715 is 22193505.