Least Common Multiple of 7613 and 7618
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7613 and 7618 the smallest integer that is 57995834 that is divisible by both numbers.
Least Common Multiple (LCM) of 7613 and 7618 is 57995834.
LCM(7613,7618) = 57995834
LCM of 7613 and 7618
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7613 and 7618 by Prime method
- Least Common Multiple of 7613 and 7618 with GCF Formula
LCM of 7613 and 7618 is 57995834
Least common multiple can be found by multiplying the highest exponent prime factors of 7613 and 7618. First we will calculate the prime factors of 7613 and 7618.
Prime Factorization of 7613
| 23 | 7613 |
| 331 | 331 |
| 1 |
Prime factors of 7613 are 23,331. Prime factorization of 7613 in exponential form is:
7613 = 231×3311
Prime Factorization of 7618
| 2 | 7618 |
| 13 | 3809 |
| 293 | 293 |
| 1 |
Prime factors of 7618 are 2, 13,293. Prime factorization of 7618 in exponential form is:
7618 = 21×131×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 7613 and 7618.
LCM(7613,7618) = 21×131×231×2931×3311
LCM(7613,7618) = 57995834
Factors of 7613
List of positive integer factors of 7613 that divides 7613 without a remainder.
1, 23, 331, 7613
Factors of 7618
List of positive integer factors of 7618 that divides 7618 without a remainder.
1, 2, 13, 26, 293, 586, 3809, 7618
Least Common Multiple of 7613 and 7618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7613 and 7618, than apply into the LCM equation.
GCF(7613,7618) = 1
LCM(7613,7618) = ( 7613 × 7618) / 1
LCM(7613,7618) = 57995834 / 1
LCM(7613,7618) = 57995834
Properties of LCM 7613 and 7618
(i) The LCM of 7618 and 7613 is associative
LCM of 7613 and 7618 = LCM of 7618 and 7613
Related Least Common Multiples of 7613
Related Least Common Multiples of 7618
Frequently Asked Questions on LCM of 7613 and 7618
1. What is the LCM of 7613 and 7618?
Answer: LCM of 7613 and 7618 is 57995834.
2. What are the Factors of 7613?
Answer: Factors of 7613 are 1, 23, 331, 7613. There are 4 integers that are factors of 7613. The greatest factor of 7613 is 7613.
3. What are the Factors of 7618?
Answer: Factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618. There are 8 integers that are factors of 7618. The greatest factor of 7618 is 7618.
4. How to Find the LCM of 7613 and 7618?
Answer:
Least Common Multiple of 7613 and 7618 = 57995834
Step 1: Find the prime factorization of 7613
7613 = 23 x 331
Step 2: Find the prime factorization of 7618
7618 = 2 x 13 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57995834 = 2 x 13 x 23 x 293 x 331
Step 4: Therefore, the least common multiple of 7613 and 7618 is 57995834.