Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6747 and 6752 the smallest integer that is 45555744 that is divisible by both numbers.
Least Common Multiple (LCM) of 6747 and 6752 is 45555744.
LCM(6747,6752) = 45555744
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 6747 and 6752. First we will calculate the prime factors of 6747 and 6752.
Prime Factorization of 6747
3 | 6747 |
13 | 2249 |
173 | 173 |
1 |
Prime factors of 6747 are 3, 13,173. Prime factorization of 6747 in exponential form is:
6747 = 31×131×1731
Prime Factorization of 6752
2 | 6752 |
2 | 3376 |
2 | 1688 |
2 | 844 |
2 | 422 |
211 | 211 |
1 |
Prime factors of 6752 are 2,211. Prime factorization of 6752 in exponential form is:
6752 = 25×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 6747 and 6752.
LCM(6747,6752) = 25×31×131×1731×2111
LCM(6747,6752) = 45555744
Factors of 6747
List of positive integer factors of 6747 that divides 6747 without a remainder.
1, 3, 13, 39, 173, 519, 2249, 6747
Factors of 6752
List of positive integer factors of 6752 that divides 6752 without a remainder.
1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6747 and 6752, than apply into the LCM equation.
GCF(6747,6752) = 1
LCM(6747,6752) = ( 6747 × 6752) / 1
LCM(6747,6752) = 45555744 / 1
LCM(6747,6752) = 45555744
(i) The LCM of 6752 and 6747 is associative
LCM of 6747 and 6752 = LCM of 6752 and 6747
1. What is the LCM of 6747 and 6752?
Answer: LCM of 6747 and 6752 is 45555744.
2. What are the Factors of 6747?
Answer: Factors of 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747. There are 8 integers that are factors of 6747. The greatest factor of 6747 is 6747.
3. What are the Factors of 6752?
Answer: Factors of 6752 are 1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376, 6752. There are 12 integers that are factors of 6752. The greatest factor of 6752 is 6752.
4. How to Find the LCM of 6747 and 6752?
Answer:
Least Common Multiple of 6747 and 6752 = 45555744
Step 1: Find the prime factorization of 6747
6747 = 3 x 13 x 173
Step 2: Find the prime factorization of 6752
6752 = 2 x 2 x 2 x 2 x 2 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45555744 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 173 x 211
Step 4: Therefore, the least common multiple of 6747 and 6752 is 45555744.