Least Common Multiple of 7462 and 7467
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7462 and 7467 the smallest integer that is 55718754 that is divisible by both numbers.
Least Common Multiple (LCM) of 7462 and 7467 is 55718754.
LCM(7462,7467) = 55718754
LCM of 7462 and 7467
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7462 and 7467 by Prime method
- Least Common Multiple of 7462 and 7467 with GCF Formula
LCM of 7462 and 7467 is 55718754
Least common multiple can be found by multiplying the highest exponent prime factors of 7462 and 7467. First we will calculate the prime factors of 7462 and 7467.
Prime Factorization of 7462
| 2 | 7462 |
| 7 | 3731 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 7462 are 2, 7, 13,41. Prime factorization of 7462 in exponential form is:
7462 = 21×71×131×411
Prime Factorization of 7467
| 3 | 7467 |
| 19 | 2489 |
| 131 | 131 |
| 1 |
Prime factors of 7467 are 3, 19,131. Prime factorization of 7467 in exponential form is:
7467 = 31×191×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 7462 and 7467.
LCM(7462,7467) = 21×31×71×131×191×411×1311
LCM(7462,7467) = 55718754
Factors of 7462
List of positive integer factors of 7462 that divides 7462 without a remainder.
1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462
Factors of 7467
List of positive integer factors of 7467 that divides 7467 without a remainder.
1, 3, 19, 57, 131, 393, 2489, 7467
Least Common Multiple of 7462 and 7467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7462 and 7467, than apply into the LCM equation.
GCF(7462,7467) = 1
LCM(7462,7467) = ( 7462 × 7467) / 1
LCM(7462,7467) = 55718754 / 1
LCM(7462,7467) = 55718754
Properties of LCM 7462 and 7467
(i) The LCM of 7467 and 7462 is associative
LCM of 7462 and 7467 = LCM of 7467 and 7462
Related Least Common Multiples of 7462
Related Least Common Multiples of 7467
Frequently Asked Questions on LCM of 7462 and 7467
1. What is the LCM of 7462 and 7467?
Answer: LCM of 7462 and 7467 is 55718754.
2. What are the Factors of 7462?
Answer: Factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462. There are 16 integers that are factors of 7462. The greatest factor of 7462 is 7462.
3. What are the Factors of 7467?
Answer: Factors of 7467 are 1, 3, 19, 57, 131, 393, 2489, 7467. There are 8 integers that are factors of 7467. The greatest factor of 7467 is 7467.
4. How to Find the LCM of 7462 and 7467?
Answer:
Least Common Multiple of 7462 and 7467 = 55718754
Step 1: Find the prime factorization of 7462
7462 = 2 x 7 x 13 x 41
Step 2: Find the prime factorization of 7467
7467 = 3 x 19 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55718754 = 2 x 3 x 7 x 13 x 19 x 41 x 131
Step 4: Therefore, the least common multiple of 7462 and 7467 is 55718754.