Least Common Multiple of 7671 and 7675
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7671 and 7675 the smallest integer that is 58874925 that is divisible by both numbers.
Least Common Multiple (LCM) of 7671 and 7675 is 58874925.
LCM(7671,7675) = 58874925
LCM of 7671 and 7675
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7671 and 7675 by Prime method
- Least Common Multiple of 7671 and 7675 with GCF Formula
LCM of 7671 and 7675 is 58874925
Least common multiple can be found by multiplying the highest exponent prime factors of 7671 and 7675. First we will calculate the prime factors of 7671 and 7675.
Prime Factorization of 7671
| 3 | 7671 |
| 2557 | 2557 |
| 1 |
Prime factors of 7671 are 3,2557. Prime factorization of 7671 in exponential form is:
7671 = 31×25571
Prime Factorization of 7675
| 5 | 7675 |
| 5 | 1535 |
| 307 | 307 |
| 1 |
Prime factors of 7675 are 5,307. Prime factorization of 7675 in exponential form is:
7675 = 52×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 7671 and 7675.
LCM(7671,7675) = 31×52×3071×25571
LCM(7671,7675) = 58874925
Factors of 7671
List of positive integer factors of 7671 that divides 7671 without a remainder.
1, 3, 2557, 7671
Factors of 7675
List of positive integer factors of 7675 that divides 7675 without a remainder.
1, 5, 25, 307, 1535, 7675
Least Common Multiple of 7671 and 7675 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7671 and 7675, than apply into the LCM equation.
GCF(7671,7675) = 1
LCM(7671,7675) = ( 7671 × 7675) / 1
LCM(7671,7675) = 58874925 / 1
LCM(7671,7675) = 58874925
Properties of LCM 7671 and 7675
(i) The LCM of 7675 and 7671 is associative
LCM of 7671 and 7675 = LCM of 7675 and 7671
Related Least Common Multiples of 7671
Related Least Common Multiples of 7675
Frequently Asked Questions on LCM of 7671 and 7675
1. What is the LCM of 7671 and 7675?
Answer: LCM of 7671 and 7675 is 58874925.
2. What are the Factors of 7671?
Answer: Factors of 7671 are 1, 3, 2557, 7671. There are 4 integers that are factors of 7671. The greatest factor of 7671 is 7671.
3. What are the Factors of 7675?
Answer: Factors of 7675 are 1, 5, 25, 307, 1535, 7675. There are 6 integers that are factors of 7675. The greatest factor of 7675 is 7675.
4. How to Find the LCM of 7671 and 7675?
Answer:
Least Common Multiple of 7671 and 7675 = 58874925
Step 1: Find the prime factorization of 7671
7671 = 3 x 2557
Step 2: Find the prime factorization of 7675
7675 = 5 x 5 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58874925 = 3 x 5 x 5 x 307 x 2557
Step 4: Therefore, the least common multiple of 7671 and 7675 is 58874925.