Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7721 and 7725 the smallest integer that is 59644725 that is divisible by both numbers.
Least Common Multiple (LCM) of 7721 and 7725 is 59644725.
LCM(7721,7725) = 59644725
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 7721 and 7725. First we will calculate the prime factors of 7721 and 7725.
Prime Factorization of 7721
7 | 7721 |
1103 | 1103 |
1 |
Prime factors of 7721 are 7,1103. Prime factorization of 7721 in exponential form is:
7721 = 71×11031
Prime Factorization of 7725
3 | 7725 |
5 | 2575 |
5 | 515 |
103 | 103 |
1 |
Prime factors of 7725 are 3, 5,103. Prime factorization of 7725 in exponential form is:
7725 = 31×52×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 7721 and 7725.
LCM(7721,7725) = 31×52×71×1031×11031
LCM(7721,7725) = 59644725
Factors of 7721
List of positive integer factors of 7721 that divides 7721 without a remainder.
1, 7, 1103, 7721
Factors of 7725
List of positive integer factors of 7725 that divides 7725 without a remainder.
1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7721 and 7725, than apply into the LCM equation.
GCF(7721,7725) = 1
LCM(7721,7725) = ( 7721 × 7725) / 1
LCM(7721,7725) = 59644725 / 1
LCM(7721,7725) = 59644725
(i) The LCM of 7725 and 7721 is associative
LCM of 7721 and 7725 = LCM of 7725 and 7721
1. What is the LCM of 7721 and 7725?
Answer: LCM of 7721 and 7725 is 59644725.
2. What are the Factors of 7721?
Answer: Factors of 7721 are 1, 7, 1103, 7721. There are 4 integers that are factors of 7721. The greatest factor of 7721 is 7721.
3. What are the Factors of 7725?
Answer: Factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725. There are 12 integers that are factors of 7725. The greatest factor of 7725 is 7725.
4. How to Find the LCM of 7721 and 7725?
Answer:
Least Common Multiple of 7721 and 7725 = 59644725
Step 1: Find the prime factorization of 7721
7721 = 7 x 1103
Step 2: Find the prime factorization of 7725
7725 = 3 x 5 x 5 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59644725 = 3 x 5 x 5 x 7 x 103 x 1103
Step 4: Therefore, the least common multiple of 7721 and 7725 is 59644725.