Least Common Multiple of 7652 and 7657
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7652 and 7657 the smallest integer that is 58591364 that is divisible by both numbers.
Least Common Multiple (LCM) of 7652 and 7657 is 58591364.
LCM(7652,7657) = 58591364
LCM of 7652 and 7657
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7652 and 7657 by Prime method
- Least Common Multiple of 7652 and 7657 with GCF Formula
LCM of 7652 and 7657 is 58591364
Least common multiple can be found by multiplying the highest exponent prime factors of 7652 and 7657. First we will calculate the prime factors of 7652 and 7657.
Prime Factorization of 7652
| 2 | 7652 |
| 2 | 3826 |
| 1913 | 1913 |
| 1 |
Prime factors of 7652 are 2,1913. Prime factorization of 7652 in exponential form is:
7652 = 22×19131
Prime Factorization of 7657
| 13 | 7657 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 7657 are 13, 19,31. Prime factorization of 7657 in exponential form is:
7657 = 131×191×311
Now multiplying the highest exponent prime factors to calculate the LCM of 7652 and 7657.
LCM(7652,7657) = 22×131×191×311×19131
LCM(7652,7657) = 58591364
Factors of 7652
List of positive integer factors of 7652 that divides 7652 without a remainder.
1, 2, 4, 1913, 3826, 7652
Factors of 7657
List of positive integer factors of 7657 that divides 7657 without a remainder.
1, 13, 19, 31, 247, 403, 589, 7657
Least Common Multiple of 7652 and 7657 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7652 and 7657, than apply into the LCM equation.
GCF(7652,7657) = 1
LCM(7652,7657) = ( 7652 × 7657) / 1
LCM(7652,7657) = 58591364 / 1
LCM(7652,7657) = 58591364
Properties of LCM 7652 and 7657
(i) The LCM of 7657 and 7652 is associative
LCM of 7652 and 7657 = LCM of 7657 and 7652
Related Least Common Multiples of 7652
Related Least Common Multiples of 7657
Frequently Asked Questions on LCM of 7652 and 7657
1. What is the LCM of 7652 and 7657?
Answer: LCM of 7652 and 7657 is 58591364.
2. What are the Factors of 7652?
Answer: Factors of 7652 are 1, 2, 4, 1913, 3826, 7652. There are 6 integers that are factors of 7652. The greatest factor of 7652 is 7652.
3. What are the Factors of 7657?
Answer: Factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657. There are 8 integers that are factors of 7657. The greatest factor of 7657 is 7657.
4. How to Find the LCM of 7652 and 7657?
Answer:
Least Common Multiple of 7652 and 7657 = 58591364
Step 1: Find the prime factorization of 7652
7652 = 2 x 2 x 1913
Step 2: Find the prime factorization of 7657
7657 = 13 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58591364 = 2 x 2 x 13 x 19 x 31 x 1913
Step 4: Therefore, the least common multiple of 7652 and 7657 is 58591364.