Least Common Multiple of 4213 and 4221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4213 and 4221 the smallest integer that is 17783073 that is divisible by both numbers.
Least Common Multiple (LCM) of 4213 and 4221 is 17783073.
LCM(4213,4221) = 17783073
LCM of 4213 and 4221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4213 and 4221 by Prime method
- Least Common Multiple of 4213 and 4221 with GCF Formula
LCM of 4213 and 4221 is 17783073
Least common multiple can be found by multiplying the highest exponent prime factors of 4213 and 4221. First we will calculate the prime factors of 4213 and 4221.
Prime Factorization of 4213
| 11 | 4213 |
| 383 | 383 |
| 1 |
Prime factors of 4213 are 11,383. Prime factorization of 4213 in exponential form is:
4213 = 111×3831
Prime Factorization of 4221
| 3 | 4221 |
| 3 | 1407 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 4221 are 3, 7,67. Prime factorization of 4221 in exponential form is:
4221 = 32×71×671
Now multiplying the highest exponent prime factors to calculate the LCM of 4213 and 4221.
LCM(4213,4221) = 32×71×111×671×3831
LCM(4213,4221) = 17783073
Factors of 4213
List of positive integer factors of 4213 that divides 4213 without a remainder.
1, 11, 383, 4213
Factors of 4221
List of positive integer factors of 4221 that divides 4221 without a remainder.
1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221
Least Common Multiple of 4213 and 4221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4213 and 4221, than apply into the LCM equation.
GCF(4213,4221) = 1
LCM(4213,4221) = ( 4213 × 4221) / 1
LCM(4213,4221) = 17783073 / 1
LCM(4213,4221) = 17783073
Properties of LCM 4213 and 4221
(i) The LCM of 4221 and 4213 is associative
LCM of 4213 and 4221 = LCM of 4221 and 4213
Related Least Common Multiples of 4213
Related Least Common Multiples of 4221
Frequently Asked Questions on LCM of 4213 and 4221
1. What is the LCM of 4213 and 4221?
Answer: LCM of 4213 and 4221 is 17783073.
2. What are the Factors of 4213?
Answer: Factors of 4213 are 1, 11, 383, 4213. There are 4 integers that are factors of 4213. The greatest factor of 4213 is 4213.
3. What are the Factors of 4221?
Answer: Factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221. There are 12 integers that are factors of 4221. The greatest factor of 4221 is 4221.
4. How to Find the LCM of 4213 and 4221?
Answer:
Least Common Multiple of 4213 and 4221 = 17783073
Step 1: Find the prime factorization of 4213
4213 = 11 x 383
Step 2: Find the prime factorization of 4221
4221 = 3 x 3 x 7 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17783073 = 3 x 3 x 7 x 11 x 67 x 383
Step 4: Therefore, the least common multiple of 4213 and 4221 is 17783073.