Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4630 and 4638 the smallest integer that is 10736970 that is divisible by both numbers.
Least Common Multiple (LCM) of 4630 and 4638 is 10736970.
LCM(4630,4638) = 10736970
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4630 and 4638. First we will calculate the prime factors of 4630 and 4638.
Prime Factorization of 4630
2 | 4630 |
5 | 2315 |
463 | 463 |
1 |
Prime factors of 4630 are 2, 5,463. Prime factorization of 4630 in exponential form is:
4630 = 21×51×4631
Prime Factorization of 4638
2 | 4638 |
3 | 2319 |
773 | 773 |
1 |
Prime factors of 4638 are 2, 3,773. Prime factorization of 4638 in exponential form is:
4638 = 21×31×7731
Now multiplying the highest exponent prime factors to calculate the LCM of 4630 and 4638.
LCM(4630,4638) = 21×31×51×4631×7731
LCM(4630,4638) = 10736970
Factors of 4630
List of positive integer factors of 4630 that divides 4630 without a remainder.
1, 2, 5, 10, 463, 926, 2315, 4630
Factors of 4638
List of positive integer factors of 4638 that divides 4638 without a remainder.
1, 2, 3, 6, 773, 1546, 2319, 4638
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4630 and 4638, than apply into the LCM equation.
GCF(4630,4638) = 2
LCM(4630,4638) = ( 4630 × 4638) / 2
LCM(4630,4638) = 21473940 / 2
LCM(4630,4638) = 10736970
(i) The LCM of 4638 and 4630 is associative
LCM of 4630 and 4638 = LCM of 4638 and 4630
1. What is the LCM of 4630 and 4638?
Answer: LCM of 4630 and 4638 is 10736970.
2. What are the Factors of 4630?
Answer: Factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630. There are 8 integers that are factors of 4630. The greatest factor of 4630 is 4630.
3. What are the Factors of 4638?
Answer: Factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638. There are 8 integers that are factors of 4638. The greatest factor of 4638 is 4638.
4. How to Find the LCM of 4630 and 4638?
Answer:
Least Common Multiple of 4630 and 4638 = 10736970
Step 1: Find the prime factorization of 4630
4630 = 2 x 5 x 463
Step 2: Find the prime factorization of 4638
4638 = 2 x 3 x 773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10736970 = 2 x 3 x 5 x 463 x 773
Step 4: Therefore, the least common multiple of 4630 and 4638 is 10736970.