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 6217 the smallest integer that is 38626221 that is divisible by both numbers.
Least Common Multiple (LCM) of 6213 and 6217 is 38626221.
LCM(6213,6217) = 38626221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6213 and 6217. First we will calculate the prime factors of 6213 and 6217.
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 6217
6217 | 6217 |
1 |
Prime factors of 6217 are 6217. Prime factorization of 6217 in exponential form is:
6217 = 62171
Now multiplying the highest exponent prime factors to calculate the LCM of 6213 and 6217.
LCM(6213,6217) = 31×191×1091×62171
LCM(6213,6217) = 38626221
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 6217
List of positive integer factors of 6217 that divides 6217 without a remainder.
1, 6217
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6213 and 6217, than apply into the LCM equation.
GCF(6213,6217) = 1
LCM(6213,6217) = ( 6213 × 6217) / 1
LCM(6213,6217) = 38626221 / 1
LCM(6213,6217) = 38626221
(i) The LCM of 6217 and 6213 is associative
LCM of 6213 and 6217 = LCM of 6217 and 6213
1. What is the LCM of 6213 and 6217?
Answer: LCM of 6213 and 6217 is 38626221.
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 6217?
Answer: Factors of 6217 are 1, 6217. There are 2 integers that are factors of 6217. The greatest factor of 6217 is 6217.
4. How to Find the LCM of 6213 and 6217?
Answer:
Least Common Multiple of 6213 and 6217 = 38626221
Step 1: Find the prime factorization of 6213
6213 = 3 x 19 x 109
Step 2: Find the prime factorization of 6217
6217 = 6217
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38626221 = 3 x 19 x 109 x 6217
Step 4: Therefore, the least common multiple of 6213 and 6217 is 38626221.