Least Common Multiple of 6213 and 6221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6213 and 6221 the smallest integer that is 38651073 that is divisible by both numbers.
Least Common Multiple (LCM) of 6213 and 6221 is 38651073.
LCM(6213,6221) = 38651073
LCM of 6213 and 6221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6213 and 6221 by Prime method
- Least Common Multiple of 6213 and 6221 with GCF Formula
LCM of 6213 and 6221 is 38651073
Least common multiple can be found by multiplying the highest exponent prime factors of 6213 and 6221. First we will calculate the prime factors of 6213 and 6221.
Prime Factorization of 6213
| 3 | 6213 |
| 19 | 2071 |
| 109 | 109 |
| 1 |
Prime factors of 6213 are 3, 19,109. Prime factorization of 6213 in exponential form is:
6213 = 31×191×1091
Prime Factorization of 6221
| 6221 | 6221 |
| 1 |
Prime factors of 6221 are 6221. Prime factorization of 6221 in exponential form is:
6221 = 62211
Now multiplying the highest exponent prime factors to calculate the LCM of 6213 and 6221.
LCM(6213,6221) = 31×191×1091×62211
LCM(6213,6221) = 38651073
Factors of 6213
List of positive integer factors of 6213 that divides 6213 without a remainder.
1, 3, 19, 57, 109, 327, 2071, 6213
Factors of 6221
List of positive integer factors of 6221 that divides 6221 without a remainder.
1, 6221
Least Common Multiple of 6213 and 6221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6213 and 6221, than apply into the LCM equation.
GCF(6213,6221) = 1
LCM(6213,6221) = ( 6213 × 6221) / 1
LCM(6213,6221) = 38651073 / 1
LCM(6213,6221) = 38651073
Properties of LCM 6213 and 6221
(i) The LCM of 6221 and 6213 is associative
LCM of 6213 and 6221 = LCM of 6221 and 6213
Related Least Common Multiples of 6213
Related Least Common Multiples of 6221
Frequently Asked Questions on LCM of 6213 and 6221
1. What is the LCM of 6213 and 6221?
Answer: LCM of 6213 and 6221 is 38651073.
2. What are the Factors of 6213?
Answer: Factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213. There are 8 integers that are factors of 6213. The greatest factor of 6213 is 6213.
3. What are the Factors of 6221?
Answer: Factors of 6221 are 1, 6221. There are 2 integers that are factors of 6221. The greatest factor of 6221 is 6221.
4. How to Find the LCM of 6213 and 6221?
Answer:
Least Common Multiple of 6213 and 6221 = 38651073
Step 1: Find the prime factorization of 6213
6213 = 3 x 19 x 109
Step 2: Find the prime factorization of 6221
6221 = 6221
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38651073 = 3 x 19 x 109 x 6221
Step 4: Therefore, the least common multiple of 6213 and 6221 is 38651073.