Least Common Multiple of 7486 and 7493
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7486 and 7493 the smallest integer that is 56092598 that is divisible by both numbers.
Least Common Multiple (LCM) of 7486 and 7493 is 56092598.
LCM(7486,7493) = 56092598
LCM of 7486 and 7493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7486 and 7493 by Prime method
- Least Common Multiple of 7486 and 7493 with GCF Formula
LCM of 7486 and 7493 is 56092598
Least common multiple can be found by multiplying the highest exponent prime factors of 7486 and 7493. First we will calculate the prime factors of 7486 and 7493.
Prime Factorization of 7486
| 2 | 7486 |
| 19 | 3743 |
| 197 | 197 |
| 1 |
Prime factors of 7486 are 2, 19,197. Prime factorization of 7486 in exponential form is:
7486 = 21×191×1971
Prime Factorization of 7493
| 59 | 7493 |
| 127 | 127 |
| 1 |
Prime factors of 7493 are 59,127. Prime factorization of 7493 in exponential form is:
7493 = 591×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 7486 and 7493.
LCM(7486,7493) = 21×191×591×1271×1971
LCM(7486,7493) = 56092598
Factors of 7486
List of positive integer factors of 7486 that divides 7486 without a remainder.
1, 2, 19, 38, 197, 394, 3743, 7486
Factors of 7493
List of positive integer factors of 7493 that divides 7493 without a remainder.
1, 59, 127, 7493
Least Common Multiple of 7486 and 7493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7486 and 7493, than apply into the LCM equation.
GCF(7486,7493) = 1
LCM(7486,7493) = ( 7486 × 7493) / 1
LCM(7486,7493) = 56092598 / 1
LCM(7486,7493) = 56092598
Properties of LCM 7486 and 7493
(i) The LCM of 7493 and 7486 is associative
LCM of 7486 and 7493 = LCM of 7493 and 7486
Related Least Common Multiples of 7486
Related Least Common Multiples of 7493
Frequently Asked Questions on LCM of 7486 and 7493
1. What is the LCM of 7486 and 7493?
Answer: LCM of 7486 and 7493 is 56092598.
2. What are the Factors of 7486?
Answer: Factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486. There are 8 integers that are factors of 7486. The greatest factor of 7486 is 7486.
3. What are the Factors of 7493?
Answer: Factors of 7493 are 1, 59, 127, 7493. There are 4 integers that are factors of 7493. The greatest factor of 7493 is 7493.
4. How to Find the LCM of 7486 and 7493?
Answer:
Least Common Multiple of 7486 and 7493 = 56092598
Step 1: Find the prime factorization of 7486
7486 = 2 x 19 x 197
Step 2: Find the prime factorization of 7493
7493 = 59 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56092598 = 2 x 19 x 59 x 127 x 197
Step 4: Therefore, the least common multiple of 7486 and 7493 is 56092598.