Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4643 and 4650 the smallest integer that is 21589950 that is divisible by both numbers.
Least Common Multiple (LCM) of 4643 and 4650 is 21589950.
LCM(4643,4650) = 21589950
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 4643 and 4650. First we will calculate the prime factors of 4643 and 4650.
Prime Factorization of 4643
4643 | 4643 |
1 |
Prime factors of 4643 are 4643. Prime factorization of 4643 in exponential form is:
4643 = 46431
Prime Factorization of 4650
2 | 4650 |
3 | 2325 |
5 | 775 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 4650 are 2, 3, 5,31. Prime factorization of 4650 in exponential form is:
4650 = 21×31×52×311
Now multiplying the highest exponent prime factors to calculate the LCM of 4643 and 4650.
LCM(4643,4650) = 21×31×52×311×46431
LCM(4643,4650) = 21589950
Factors of 4643
List of positive integer factors of 4643 that divides 4643 without a remainder.
1, 4643
Factors of 4650
List of positive integer factors of 4650 that divides 4650 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4643 and 4650, than apply into the LCM equation.
GCF(4643,4650) = 1
LCM(4643,4650) = ( 4643 × 4650) / 1
LCM(4643,4650) = 21589950 / 1
LCM(4643,4650) = 21589950
(i) The LCM of 4650 and 4643 is associative
LCM of 4643 and 4650 = LCM of 4650 and 4643
1. What is the LCM of 4643 and 4650?
Answer: LCM of 4643 and 4650 is 21589950.
2. 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.
3. What are the Factors of 4650?
Answer: Factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650. There are 24 integers that are factors of 4650. The greatest factor of 4650 is 4650.
4. How to Find the LCM of 4643 and 4650?
Answer:
Least Common Multiple of 4643 and 4650 = 21589950
Step 1: Find the prime factorization of 4643
4643 = 4643
Step 2: Find the prime factorization of 4650
4650 = 2 x 3 x 5 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21589950 = 2 x 3 x 5 x 5 x 31 x 4643
Step 4: Therefore, the least common multiple of 4643 and 4650 is 21589950.