Least Common Multiple of 7363 and 7370
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7363 and 7370 the smallest integer that is 54265310 that is divisible by both numbers.
Least Common Multiple (LCM) of 7363 and 7370 is 54265310.
LCM(7363,7370) = 54265310
LCM of 7363 and 7370
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7363 and 7370 by Prime method
- Least Common Multiple of 7363 and 7370 with GCF Formula
LCM of 7363 and 7370 is 54265310
Least common multiple can be found by multiplying the highest exponent prime factors of 7363 and 7370. First we will calculate the prime factors of 7363 and 7370.
Prime Factorization of 7363
| 37 | 7363 |
| 199 | 199 |
| 1 |
Prime factors of 7363 are 37,199. Prime factorization of 7363 in exponential form is:
7363 = 371×1991
Prime Factorization of 7370
| 2 | 7370 |
| 5 | 3685 |
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 7370 are 2, 5, 11,67. Prime factorization of 7370 in exponential form is:
7370 = 21×51×111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 7363 and 7370.
LCM(7363,7370) = 21×51×111×371×671×1991
LCM(7363,7370) = 54265310
Factors of 7363
List of positive integer factors of 7363 that divides 7363 without a remainder.
1, 37, 199, 7363
Factors of 7370
List of positive integer factors of 7370 that divides 7370 without a remainder.
1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
Least Common Multiple of 7363 and 7370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7363 and 7370, than apply into the LCM equation.
GCF(7363,7370) = 1
LCM(7363,7370) = ( 7363 × 7370) / 1
LCM(7363,7370) = 54265310 / 1
LCM(7363,7370) = 54265310
Properties of LCM 7363 and 7370
(i) The LCM of 7370 and 7363 is associative
LCM of 7363 and 7370 = LCM of 7370 and 7363
Related Least Common Multiples of 7363
Related Least Common Multiples of 7370
Frequently Asked Questions on LCM of 7363 and 7370
1. What is the LCM of 7363 and 7370?
Answer: LCM of 7363 and 7370 is 54265310.
2. What are the Factors of 7363?
Answer: Factors of 7363 are 1, 37, 199, 7363. There are 4 integers that are factors of 7363. The greatest factor of 7363 is 7363.
3. What are the Factors of 7370?
Answer: Factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370. There are 16 integers that are factors of 7370. The greatest factor of 7370 is 7370.
4. How to Find the LCM of 7363 and 7370?
Answer:
Least Common Multiple of 7363 and 7370 = 54265310
Step 1: Find the prime factorization of 7363
7363 = 37 x 199
Step 2: Find the prime factorization of 7370
7370 = 2 x 5 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54265310 = 2 x 5 x 11 x 37 x 67 x 199
Step 4: Therefore, the least common multiple of 7363 and 7370 is 54265310.