Least Common Multiple of 4710 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 4710 and 4715 the smallest integer that is 4441530 that is divisible by both numbers.
Least Common Multiple (LCM) of 4710 and 4715 is 4441530.
LCM(4710,4715) = 4441530
LCM of 4710 and 4715
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4710 and 4715 by Prime method
- Least Common Multiple of 4710 and 4715 with GCF Formula
LCM of 4710 and 4715 is 4441530
Least common multiple can be found by multiplying the highest exponent prime factors of 4710 and 4715. First we will calculate the prime factors of 4710 and 4715.
Prime Factorization of 4710
| 2 | 4710 |
| 3 | 2355 |
| 5 | 785 |
| 157 | 157 |
| 1 |
Prime factors of 4710 are 2, 3, 5,157. Prime factorization of 4710 in exponential form is:
4710 = 21×31×51×1571
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 4710 and 4715.
LCM(4710,4715) = 21×31×51×231×411×1571
LCM(4710,4715) = 4441530
Factors of 4710
List of positive integer factors of 4710 that divides 4710 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710
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 4710 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 4710 and 4715, than apply into the LCM equation.
GCF(4710,4715) = 5
LCM(4710,4715) = ( 4710 × 4715) / 5
LCM(4710,4715) = 22207650 / 5
LCM(4710,4715) = 4441530
Properties of LCM 4710 and 4715
(i) The LCM of 4715 and 4710 is associative
LCM of 4710 and 4715 = LCM of 4715 and 4710
Related Least Common Multiples of 4710
Related Least Common Multiples of 4715
Frequently Asked Questions on LCM of 4710 and 4715
1. What is the LCM of 4710 and 4715?
Answer: LCM of 4710 and 4715 is 4441530.
2. What are the Factors of 4710?
Answer: Factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710. There are 16 integers that are factors of 4710. The greatest factor of 4710 is 4710.
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 4710 and 4715?
Answer:
Least Common Multiple of 4710 and 4715 = 4441530
Step 1: Find the prime factorization of 4710
4710 = 2 x 3 x 5 x 157
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 = 4441530 = 2 x 3 x 5 x 23 x 41 x 157
Step 4: Therefore, the least common multiple of 4710 and 4715 is 4441530.