Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6761 and 6769 the smallest integer that is 45765209 that is divisible by both numbers.
Least Common Multiple (LCM) of 6761 and 6769 is 45765209.
LCM(6761,6769) = 45765209
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 6761 and 6769. First we will calculate the prime factors of 6761 and 6769.
Prime Factorization of 6761
6761 | 6761 |
1 |
Prime factors of 6761 are 6761. Prime factorization of 6761 in exponential form is:
6761 = 67611
Prime Factorization of 6769
7 | 6769 |
967 | 967 |
1 |
Prime factors of 6769 are 7,967. Prime factorization of 6769 in exponential form is:
6769 = 71×9671
Now multiplying the highest exponent prime factors to calculate the LCM of 6761 and 6769.
LCM(6761,6769) = 71×9671×67611
LCM(6761,6769) = 45765209
Factors of 6761
List of positive integer factors of 6761 that divides 6761 without a remainder.
1, 6761
Factors of 6769
List of positive integer factors of 6769 that divides 6769 without a remainder.
1, 7, 967, 6769
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6761 and 6769, than apply into the LCM equation.
GCF(6761,6769) = 1
LCM(6761,6769) = ( 6761 × 6769) / 1
LCM(6761,6769) = 45765209 / 1
LCM(6761,6769) = 45765209
(i) The LCM of 6769 and 6761 is associative
LCM of 6761 and 6769 = LCM of 6769 and 6761
1. What is the LCM of 6761 and 6769?
Answer: LCM of 6761 and 6769 is 45765209.
2. What are the Factors of 6761?
Answer: Factors of 6761 are 1, 6761. There are 2 integers that are factors of 6761. The greatest factor of 6761 is 6761.
3. What are the Factors of 6769?
Answer: Factors of 6769 are 1, 7, 967, 6769. There are 4 integers that are factors of 6769. The greatest factor of 6769 is 6769.
4. How to Find the LCM of 6761 and 6769?
Answer:
Least Common Multiple of 6761 and 6769 = 45765209
Step 1: Find the prime factorization of 6761
6761 = 6761
Step 2: Find the prime factorization of 6769
6769 = 7 x 967
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45765209 = 7 x 967 x 6761
Step 4: Therefore, the least common multiple of 6761 and 6769 is 45765209.