Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6773 and 6780 the smallest integer that is 45920940 that is divisible by both numbers.
Least Common Multiple (LCM) of 6773 and 6780 is 45920940.
LCM(6773,6780) = 45920940
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 6773 and 6780. First we will calculate the prime factors of 6773 and 6780.
Prime Factorization of 6773
13 | 6773 |
521 | 521 |
1 |
Prime factors of 6773 are 13,521. Prime factorization of 6773 in exponential form is:
6773 = 131×5211
Prime Factorization of 6780
2 | 6780 |
2 | 3390 |
3 | 1695 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 6780 are 2, 3, 5,113. Prime factorization of 6780 in exponential form is:
6780 = 22×31×51×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 6773 and 6780.
LCM(6773,6780) = 22×31×51×131×1131×5211
LCM(6773,6780) = 45920940
Factors of 6773
List of positive integer factors of 6773 that divides 6773 without a remainder.
1, 13, 521, 6773
Factors of 6780
List of positive integer factors of 6780 that divides 6780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6773 and 6780, than apply into the LCM equation.
GCF(6773,6780) = 1
LCM(6773,6780) = ( 6773 × 6780) / 1
LCM(6773,6780) = 45920940 / 1
LCM(6773,6780) = 45920940
(i) The LCM of 6780 and 6773 is associative
LCM of 6773 and 6780 = LCM of 6780 and 6773
1. What is the LCM of 6773 and 6780?
Answer: LCM of 6773 and 6780 is 45920940.
2. What are the Factors of 6773?
Answer: Factors of 6773 are 1, 13, 521, 6773. There are 4 integers that are factors of 6773. The greatest factor of 6773 is 6773.
3. What are the Factors of 6780?
Answer: Factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780. There are 24 integers that are factors of 6780. The greatest factor of 6780 is 6780.
4. How to Find the LCM of 6773 and 6780?
Answer:
Least Common Multiple of 6773 and 6780 = 45920940
Step 1: Find the prime factorization of 6773
6773 = 13 x 521
Step 2: Find the prime factorization of 6780
6780 = 2 x 2 x 3 x 5 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45920940 = 2 x 2 x 3 x 5 x 13 x 113 x 521
Step 4: Therefore, the least common multiple of 6773 and 6780 is 45920940.