Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4638 and 4643 the smallest integer that is 21534234 that is divisible by both numbers.
Least Common Multiple (LCM) of 4638 and 4643 is 21534234.
LCM(4638,4643) = 21534234
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 4638 and 4643. First we will calculate the prime factors of 4638 and 4643.
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
Prime Factorization of 4643
4643 | 4643 |
1 |
Prime factors of 4643 are 4643. Prime factorization of 4643 in exponential form is:
4643 = 46431
Now multiplying the highest exponent prime factors to calculate the LCM of 4638 and 4643.
LCM(4638,4643) = 21×31×7731×46431
LCM(4638,4643) = 21534234
Factors of 4638
List of positive integer factors of 4638 that divides 4638 without a remainder.
1, 2, 3, 6, 773, 1546, 2319, 4638
Factors of 4643
List of positive integer factors of 4643 that divides 4643 without a remainder.
1, 4643
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4638 and 4643, than apply into the LCM equation.
GCF(4638,4643) = 1
LCM(4638,4643) = ( 4638 × 4643) / 1
LCM(4638,4643) = 21534234 / 1
LCM(4638,4643) = 21534234
(i) The LCM of 4643 and 4638 is associative
LCM of 4638 and 4643 = LCM of 4643 and 4638
1. What is the LCM of 4638 and 4643?
Answer: LCM of 4638 and 4643 is 21534234.
2. 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.
3. What are the Factors of 4643?
Answer: Factors of 4643 are 1, 4643. There are 2 integers that are factors of 4643. The greatest factor of 4643 is 4643.
4. How to Find the LCM of 4638 and 4643?
Answer:
Least Common Multiple of 4638 and 4643 = 21534234
Step 1: Find the prime factorization of 4638
4638 = 2 x 3 x 773
Step 2: Find the prime factorization of 4643
4643 = 4643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21534234 = 2 x 3 x 773 x 4643
Step 4: Therefore, the least common multiple of 4638 and 4643 is 21534234.