Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6733 and 6738 the smallest integer that is 45366954 that is divisible by both numbers.
Least Common Multiple (LCM) of 6733 and 6738 is 45366954.
LCM(6733,6738) = 45366954
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 6733 and 6738. First we will calculate the prime factors of 6733 and 6738.
Prime Factorization of 6733
6733 | 6733 |
1 |
Prime factors of 6733 are 6733. Prime factorization of 6733 in exponential form is:
6733 = 67331
Prime Factorization of 6738
2 | 6738 |
3 | 3369 |
1123 | 1123 |
1 |
Prime factors of 6738 are 2, 3,1123. Prime factorization of 6738 in exponential form is:
6738 = 21×31×11231
Now multiplying the highest exponent prime factors to calculate the LCM of 6733 and 6738.
LCM(6733,6738) = 21×31×11231×67331
LCM(6733,6738) = 45366954
Factors of 6733
List of positive integer factors of 6733 that divides 6733 without a remainder.
1, 6733
Factors of 6738
List of positive integer factors of 6738 that divides 6738 without a remainder.
1, 2, 3, 6, 1123, 2246, 3369, 6738
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6733 and 6738, than apply into the LCM equation.
GCF(6733,6738) = 1
LCM(6733,6738) = ( 6733 × 6738) / 1
LCM(6733,6738) = 45366954 / 1
LCM(6733,6738) = 45366954
(i) The LCM of 6738 and 6733 is associative
LCM of 6733 and 6738 = LCM of 6738 and 6733
1. What is the LCM of 6733 and 6738?
Answer: LCM of 6733 and 6738 is 45366954.
2. What are the Factors of 6733?
Answer: Factors of 6733 are 1, 6733. There are 2 integers that are factors of 6733. The greatest factor of 6733 is 6733.
3. What are the Factors of 6738?
Answer: Factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738. There are 8 integers that are factors of 6738. The greatest factor of 6738 is 6738.
4. How to Find the LCM of 6733 and 6738?
Answer:
Least Common Multiple of 6733 and 6738 = 45366954
Step 1: Find the prime factorization of 6733
6733 = 6733
Step 2: Find the prime factorization of 6738
6738 = 2 x 3 x 1123
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45366954 = 2 x 3 x 1123 x 6733
Step 4: Therefore, the least common multiple of 6733 and 6738 is 45366954.