Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7730 and 7732 the smallest integer that is 29884180 that is divisible by both numbers.
Least Common Multiple (LCM) of 7730 and 7732 is 29884180.
LCM(7730,7732) = 29884180
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 7730 and 7732. First we will calculate the prime factors of 7730 and 7732.
Prime Factorization of 7730
2 | 7730 |
5 | 3865 |
773 | 773 |
1 |
Prime factors of 7730 are 2, 5,773. Prime factorization of 7730 in exponential form is:
7730 = 21×51×7731
Prime Factorization of 7732
2 | 7732 |
2 | 3866 |
1933 | 1933 |
1 |
Prime factors of 7732 are 2,1933. Prime factorization of 7732 in exponential form is:
7732 = 22×19331
Now multiplying the highest exponent prime factors to calculate the LCM of 7730 and 7732.
LCM(7730,7732) = 22×51×7731×19331
LCM(7730,7732) = 29884180
Factors of 7730
List of positive integer factors of 7730 that divides 7730 without a remainder.
1, 2, 5, 10, 773, 1546, 3865, 7730
Factors of 7732
List of positive integer factors of 7732 that divides 7732 without a remainder.
1, 2, 4, 1933, 3866, 7732
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7730 and 7732, than apply into the LCM equation.
GCF(7730,7732) = 2
LCM(7730,7732) = ( 7730 × 7732) / 2
LCM(7730,7732) = 59768360 / 2
LCM(7730,7732) = 29884180
(i) The LCM of 7732 and 7730 is associative
LCM of 7730 and 7732 = LCM of 7732 and 7730
1. What is the LCM of 7730 and 7732?
Answer: LCM of 7730 and 7732 is 29884180.
2. What are the Factors of 7730?
Answer: Factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730. There are 8 integers that are factors of 7730. The greatest factor of 7730 is 7730.
3. What are the Factors of 7732?
Answer: Factors of 7732 are 1, 2, 4, 1933, 3866, 7732. There are 6 integers that are factors of 7732. The greatest factor of 7732 is 7732.
4. How to Find the LCM of 7730 and 7732?
Answer:
Least Common Multiple of 7730 and 7732 = 29884180
Step 1: Find the prime factorization of 7730
7730 = 2 x 5 x 773
Step 2: Find the prime factorization of 7732
7732 = 2 x 2 x 1933
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29884180 = 2 x 2 x 5 x 773 x 1933
Step 4: Therefore, the least common multiple of 7730 and 7732 is 29884180.