Least Common Multiple of 7332 and 7333
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7332 and 7333 the smallest integer that is 53765556 that is divisible by both numbers.
Least Common Multiple (LCM) of 7332 and 7333 is 53765556.
LCM(7332,7333) = 53765556
LCM of 7332 and 7333
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7332 and 7333 by Prime method
- Least Common Multiple of 7332 and 7333 with GCF Formula
LCM of 7332 and 7333 is 53765556
Least common multiple can be found by multiplying the highest exponent prime factors of 7332 and 7333. First we will calculate the prime factors of 7332 and 7333.
Prime Factorization of 7332
| 2 | 7332 |
| 2 | 3666 |
| 3 | 1833 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 7332 are 2, 3, 13,47. Prime factorization of 7332 in exponential form is:
7332 = 22×31×131×471
Prime Factorization of 7333
| 7333 | 7333 |
| 1 |
Prime factors of 7333 are 7333. Prime factorization of 7333 in exponential form is:
7333 = 73331
Now multiplying the highest exponent prime factors to calculate the LCM of 7332 and 7333.
LCM(7332,7333) = 22×31×131×471×73331
LCM(7332,7333) = 53765556
Factors of 7332
List of positive integer factors of 7332 that divides 7332 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332
Factors of 7333
List of positive integer factors of 7333 that divides 7333 without a remainder.
1, 7333
Least Common Multiple of 7332 and 7333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7332 and 7333, than apply into the LCM equation.
GCF(7332,7333) = 1
LCM(7332,7333) = ( 7332 × 7333) / 1
LCM(7332,7333) = 53765556 / 1
LCM(7332,7333) = 53765556
Properties of LCM 7332 and 7333
(i) The LCM of 7333 and 7332 is associative
LCM of 7332 and 7333 = LCM of 7333 and 7332
Related Least Common Multiples of 7332
Related Least Common Multiples of 7333
Frequently Asked Questions on LCM of 7332 and 7333
1. What is the LCM of 7332 and 7333?
Answer: LCM of 7332 and 7333 is 53765556.
2. What are the Factors of 7332?
Answer: Factors of 7332 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 188, 282, 564, 611, 1222, 1833, 2444, 3666, 7332. There are 24 integers that are factors of 7332. The greatest factor of 7332 is 7332.
3. What are the Factors of 7333?
Answer: Factors of 7333 are 1, 7333. There are 2 integers that are factors of 7333. The greatest factor of 7333 is 7333.
4. How to Find the LCM of 7332 and 7333?
Answer:
Least Common Multiple of 7332 and 7333 = 53765556
Step 1: Find the prime factorization of 7332
7332 = 2 x 2 x 3 x 13 x 47
Step 2: Find the prime factorization of 7333
7333 = 7333
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53765556 = 2 x 2 x 3 x 13 x 47 x 7333
Step 4: Therefore, the least common multiple of 7332 and 7333 is 53765556.