Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6362 and 6368 the smallest integer that is 20256608 that is divisible by both numbers.
Least Common Multiple (LCM) of 6362 and 6368 is 20256608.
LCM(6362,6368) = 20256608
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 6362 and 6368. First we will calculate the prime factors of 6362 and 6368.
Prime Factorization of 6362
2 | 6362 |
3181 | 3181 |
1 |
Prime factors of 6362 are 2,3181. Prime factorization of 6362 in exponential form is:
6362 = 21×31811
Prime Factorization of 6368
2 | 6368 |
2 | 3184 |
2 | 1592 |
2 | 796 |
2 | 398 |
199 | 199 |
1 |
Prime factors of 6368 are 2,199. Prime factorization of 6368 in exponential form is:
6368 = 25×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 6362 and 6368.
LCM(6362,6368) = 25×1991×31811
LCM(6362,6368) = 20256608
Factors of 6362
List of positive integer factors of 6362 that divides 6362 without a remainder.
1, 2, 3181, 6362
Factors of 6368
List of positive integer factors of 6368 that divides 6368 without a remainder.
1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6362 and 6368, than apply into the LCM equation.
GCF(6362,6368) = 2
LCM(6362,6368) = ( 6362 × 6368) / 2
LCM(6362,6368) = 40513216 / 2
LCM(6362,6368) = 20256608
(i) The LCM of 6368 and 6362 is associative
LCM of 6362 and 6368 = LCM of 6368 and 6362
1. What is the LCM of 6362 and 6368?
Answer: LCM of 6362 and 6368 is 20256608.
2. What are the Factors of 6362?
Answer: Factors of 6362 are 1, 2, 3181, 6362. There are 4 integers that are factors of 6362. The greatest factor of 6362 is 6362.
3. What are the Factors of 6368?
Answer: Factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368. There are 12 integers that are factors of 6368. The greatest factor of 6368 is 6368.
4. How to Find the LCM of 6362 and 6368?
Answer:
Least Common Multiple of 6362 and 6368 = 20256608
Step 1: Find the prime factorization of 6362
6362 = 2 x 3181
Step 2: Find the prime factorization of 6368
6368 = 2 x 2 x 2 x 2 x 2 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20256608 = 2 x 2 x 2 x 2 x 2 x 199 x 3181
Step 4: Therefore, the least common multiple of 6362 and 6368 is 20256608.