Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6351 and 6352 the smallest integer that is 40341552 that is divisible by both numbers.
Least Common Multiple (LCM) of 6351 and 6352 is 40341552.
LCM(6351,6352) = 40341552
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 6351 and 6352. First we will calculate the prime factors of 6351 and 6352.
Prime Factorization of 6351
3 | 6351 |
29 | 2117 |
73 | 73 |
1 |
Prime factors of 6351 are 3, 29,73. Prime factorization of 6351 in exponential form is:
6351 = 31×291×731
Prime Factorization of 6352
2 | 6352 |
2 | 3176 |
2 | 1588 |
2 | 794 |
397 | 397 |
1 |
Prime factors of 6352 are 2,397. Prime factorization of 6352 in exponential form is:
6352 = 24×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 6351 and 6352.
LCM(6351,6352) = 24×31×291×731×3971
LCM(6351,6352) = 40341552
Factors of 6351
List of positive integer factors of 6351 that divides 6351 without a remainder.
1, 3, 29, 73, 87, 219, 2117, 6351
Factors of 6352
List of positive integer factors of 6352 that divides 6352 without a remainder.
1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6351 and 6352, than apply into the LCM equation.
GCF(6351,6352) = 1
LCM(6351,6352) = ( 6351 × 6352) / 1
LCM(6351,6352) = 40341552 / 1
LCM(6351,6352) = 40341552
(i) The LCM of 6352 and 6351 is associative
LCM of 6351 and 6352 = LCM of 6352 and 6351
1. What is the LCM of 6351 and 6352?
Answer: LCM of 6351 and 6352 is 40341552.
2. What are the Factors of 6351?
Answer: Factors of 6351 are 1, 3, 29, 73, 87, 219, 2117, 6351. There are 8 integers that are factors of 6351. The greatest factor of 6351 is 6351.
3. What are the Factors of 6352?
Answer: Factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352. There are 10 integers that are factors of 6352. The greatest factor of 6352 is 6352.
4. How to Find the LCM of 6351 and 6352?
Answer:
Least Common Multiple of 6351 and 6352 = 40341552
Step 1: Find the prime factorization of 6351
6351 = 3 x 29 x 73
Step 2: Find the prime factorization of 6352
6352 = 2 x 2 x 2 x 2 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40341552 = 2 x 2 x 2 x 2 x 3 x 29 x 73 x 397
Step 4: Therefore, the least common multiple of 6351 and 6352 is 40341552.