Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7647 and 7649 the smallest integer that is 58491903 that is divisible by both numbers.
Least Common Multiple (LCM) of 7647 and 7649 is 58491903.
LCM(7647,7649) = 58491903
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 7647 and 7649. First we will calculate the prime factors of 7647 and 7649.
Prime Factorization of 7647
3 | 7647 |
2549 | 2549 |
1 |
Prime factors of 7647 are 3,2549. Prime factorization of 7647 in exponential form is:
7647 = 31×25491
Prime Factorization of 7649
7649 | 7649 |
1 |
Prime factors of 7649 are 7649. Prime factorization of 7649 in exponential form is:
7649 = 76491
Now multiplying the highest exponent prime factors to calculate the LCM of 7647 and 7649.
LCM(7647,7649) = 31×25491×76491
LCM(7647,7649) = 58491903
Factors of 7647
List of positive integer factors of 7647 that divides 7647 without a remainder.
1, 3, 2549, 7647
Factors of 7649
List of positive integer factors of 7649 that divides 7649 without a remainder.
1, 7649
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7647 and 7649, than apply into the LCM equation.
GCF(7647,7649) = 1
LCM(7647,7649) = ( 7647 × 7649) / 1
LCM(7647,7649) = 58491903 / 1
LCM(7647,7649) = 58491903
(i) The LCM of 7649 and 7647 is associative
LCM of 7647 and 7649 = LCM of 7649 and 7647
1. What is the LCM of 7647 and 7649?
Answer: LCM of 7647 and 7649 is 58491903.
2. What are the Factors of 7647?
Answer: Factors of 7647 are 1, 3, 2549, 7647. There are 4 integers that are factors of 7647. The greatest factor of 7647 is 7647.
3. What are the Factors of 7649?
Answer: Factors of 7649 are 1, 7649. There are 2 integers that are factors of 7649. The greatest factor of 7649 is 7649.
4. How to Find the LCM of 7647 and 7649?
Answer:
Least Common Multiple of 7647 and 7649 = 58491903
Step 1: Find the prime factorization of 7647
7647 = 3 x 2549
Step 2: Find the prime factorization of 7649
7649 = 7649
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58491903 = 3 x 2549 x 7649
Step 4: Therefore, the least common multiple of 7647 and 7649 is 58491903.