Least Common Multiple of 7638 and 7643
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7638 and 7643 the smallest integer that is 58377234 that is divisible by both numbers.
Least Common Multiple (LCM) of 7638 and 7643 is 58377234.
LCM(7638,7643) = 58377234
LCM of 7638 and 7643
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7638 and 7643 by Prime method
- Least Common Multiple of 7638 and 7643 with GCF Formula
LCM of 7638 and 7643 is 58377234
Least common multiple can be found by multiplying the highest exponent prime factors of 7638 and 7643. First we will calculate the prime factors of 7638 and 7643.
Prime Factorization of 7638
| 2 | 7638 |
| 3 | 3819 |
| 19 | 1273 |
| 67 | 67 |
| 1 |
Prime factors of 7638 are 2, 3, 19,67. Prime factorization of 7638 in exponential form is:
7638 = 21×31×191×671
Prime Factorization of 7643
| 7643 | 7643 |
| 1 |
Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:
7643 = 76431
Now multiplying the highest exponent prime factors to calculate the LCM of 7638 and 7643.
LCM(7638,7643) = 21×31×191×671×76431
LCM(7638,7643) = 58377234
Factors of 7638
List of positive integer factors of 7638 that divides 7638 without a remainder.
1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638
Factors of 7643
List of positive integer factors of 7643 that divides 7643 without a remainder.
1, 7643
Least Common Multiple of 7638 and 7643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7638 and 7643, than apply into the LCM equation.
GCF(7638,7643) = 1
LCM(7638,7643) = ( 7638 × 7643) / 1
LCM(7638,7643) = 58377234 / 1
LCM(7638,7643) = 58377234
Properties of LCM 7638 and 7643
(i) The LCM of 7643 and 7638 is associative
LCM of 7638 and 7643 = LCM of 7643 and 7638
Related Least Common Multiples of 7638
Related Least Common Multiples of 7643
Frequently Asked Questions on LCM of 7638 and 7643
1. What is the LCM of 7638 and 7643?
Answer: LCM of 7638 and 7643 is 58377234.
2. What are the Factors of 7638?
Answer: Factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638. There are 16 integers that are factors of 7638. The greatest factor of 7638 is 7638.
3. What are the Factors of 7643?
Answer: Factors of 7643 are 1, 7643. There are 2 integers that are factors of 7643. The greatest factor of 7643 is 7643.
4. How to Find the LCM of 7638 and 7643?
Answer:
Least Common Multiple of 7638 and 7643 = 58377234
Step 1: Find the prime factorization of 7638
7638 = 2 x 3 x 19 x 67
Step 2: Find the prime factorization of 7643
7643 = 7643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58377234 = 2 x 3 x 19 x 67 x 7643
Step 4: Therefore, the least common multiple of 7638 and 7643 is 58377234.