Least Common Multiple of 4230 and 4237
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4230 and 4237 the smallest integer that is 17922510 that is divisible by both numbers.
Least Common Multiple (LCM) of 4230 and 4237 is 17922510.
LCM(4230,4237) = 17922510
LCM of 4230 and 4237
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4230 and 4237 by Prime method
- Least Common Multiple of 4230 and 4237 with GCF Formula
LCM of 4230 and 4237 is 17922510
Least common multiple can be found by multiplying the highest exponent prime factors of 4230 and 4237. First we will calculate the prime factors of 4230 and 4237.
Prime Factorization of 4230
| 2 | 4230 |
| 3 | 2115 |
| 3 | 705 |
| 5 | 235 |
| 47 | 47 |
| 1 |
Prime factors of 4230 are 2, 3, 5,47. Prime factorization of 4230 in exponential form is:
4230 = 21×32×51×471
Prime Factorization of 4237
| 19 | 4237 |
| 223 | 223 |
| 1 |
Prime factors of 4237 are 19,223. Prime factorization of 4237 in exponential form is:
4237 = 191×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 4230 and 4237.
LCM(4230,4237) = 21×32×51×191×471×2231
LCM(4230,4237) = 17922510
Factors of 4230
List of positive integer factors of 4230 that divides 4230 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
Factors of 4237
List of positive integer factors of 4237 that divides 4237 without a remainder.
1, 19, 223, 4237
Least Common Multiple of 4230 and 4237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4230 and 4237, than apply into the LCM equation.
GCF(4230,4237) = 1
LCM(4230,4237) = ( 4230 × 4237) / 1
LCM(4230,4237) = 17922510 / 1
LCM(4230,4237) = 17922510
Properties of LCM 4230 and 4237
(i) The LCM of 4237 and 4230 is associative
LCM of 4230 and 4237 = LCM of 4237 and 4230
Related Least Common Multiples of 4230
Related Least Common Multiples of 4237
Frequently Asked Questions on LCM of 4230 and 4237
1. What is the LCM of 4230 and 4237?
Answer: LCM of 4230 and 4237 is 17922510.
2. What are the Factors of 4230?
Answer: Factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230. There are 24 integers that are factors of 4230. The greatest factor of 4230 is 4230.
3. What are the Factors of 4237?
Answer: Factors of 4237 are 1, 19, 223, 4237. There are 4 integers that are factors of 4237. The greatest factor of 4237 is 4237.
4. How to Find the LCM of 4230 and 4237?
Answer:
Least Common Multiple of 4230 and 4237 = 17922510
Step 1: Find the prime factorization of 4230
4230 = 2 x 3 x 3 x 5 x 47
Step 2: Find the prime factorization of 4237
4237 = 19 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17922510 = 2 x 3 x 3 x 5 x 19 x 47 x 223
Step 4: Therefore, the least common multiple of 4230 and 4237 is 17922510.