Least Common Multiple of 4730 and 4737
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4730 and 4737 the smallest integer that is 22406010 that is divisible by both numbers.
Least Common Multiple (LCM) of 4730 and 4737 is 22406010.
LCM(4730,4737) = 22406010
LCM of 4730 and 4737
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4730 and 4737 by Prime method
- Least Common Multiple of 4730 and 4737 with GCF Formula
LCM of 4730 and 4737 is 22406010
Least common multiple can be found by multiplying the highest exponent prime factors of 4730 and 4737. First we will calculate the prime factors of 4730 and 4737.
Prime Factorization of 4730
| 2 | 4730 |
| 5 | 2365 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 4730 are 2, 5, 11,43. Prime factorization of 4730 in exponential form is:
4730 = 21×51×111×431
Prime Factorization of 4737
| 3 | 4737 |
| 1579 | 1579 |
| 1 |
Prime factors of 4737 are 3,1579. Prime factorization of 4737 in exponential form is:
4737 = 31×15791
Now multiplying the highest exponent prime factors to calculate the LCM of 4730 and 4737.
LCM(4730,4737) = 21×31×51×111×431×15791
LCM(4730,4737) = 22406010
Factors of 4730
List of positive integer factors of 4730 that divides 4730 without a remainder.
1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730
Factors of 4737
List of positive integer factors of 4737 that divides 4737 without a remainder.
1, 3, 1579, 4737
Least Common Multiple of 4730 and 4737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4730 and 4737, than apply into the LCM equation.
GCF(4730,4737) = 1
LCM(4730,4737) = ( 4730 × 4737) / 1
LCM(4730,4737) = 22406010 / 1
LCM(4730,4737) = 22406010
Properties of LCM 4730 and 4737
(i) The LCM of 4737 and 4730 is associative
LCM of 4730 and 4737 = LCM of 4737 and 4730
Related Least Common Multiples of 4730
Related Least Common Multiples of 4737
Frequently Asked Questions on LCM of 4730 and 4737
1. What is the LCM of 4730 and 4737?
Answer: LCM of 4730 and 4737 is 22406010.
2. What are the Factors of 4730?
Answer: Factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730. There are 16 integers that are factors of 4730. The greatest factor of 4730 is 4730.
3. What are the Factors of 4737?
Answer: Factors of 4737 are 1, 3, 1579, 4737. There are 4 integers that are factors of 4737. The greatest factor of 4737 is 4737.
4. How to Find the LCM of 4730 and 4737?
Answer:
Least Common Multiple of 4730 and 4737 = 22406010
Step 1: Find the prime factorization of 4730
4730 = 2 x 5 x 11 x 43
Step 2: Find the prime factorization of 4737
4737 = 3 x 1579
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22406010 = 2 x 3 x 5 x 11 x 43 x 1579
Step 4: Therefore, the least common multiple of 4730 and 4737 is 22406010.