Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4499 and 4506 the smallest integer that is 20272494 that is divisible by both numbers.
Least Common Multiple (LCM) of 4499 and 4506 is 20272494.
LCM(4499,4506) = 20272494
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 4499 and 4506. First we will calculate the prime factors of 4499 and 4506.
Prime Factorization of 4499
11 | 4499 |
409 | 409 |
1 |
Prime factors of 4499 are 11,409. Prime factorization of 4499 in exponential form is:
4499 = 111×4091
Prime Factorization of 4506
2 | 4506 |
3 | 2253 |
751 | 751 |
1 |
Prime factors of 4506 are 2, 3,751. Prime factorization of 4506 in exponential form is:
4506 = 21×31×7511
Now multiplying the highest exponent prime factors to calculate the LCM of 4499 and 4506.
LCM(4499,4506) = 21×31×111×4091×7511
LCM(4499,4506) = 20272494
Factors of 4499
List of positive integer factors of 4499 that divides 4499 without a remainder.
1, 11, 409, 4499
Factors of 4506
List of positive integer factors of 4506 that divides 4506 without a remainder.
1, 2, 3, 6, 751, 1502, 2253, 4506
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4499 and 4506, than apply into the LCM equation.
GCF(4499,4506) = 1
LCM(4499,4506) = ( 4499 × 4506) / 1
LCM(4499,4506) = 20272494 / 1
LCM(4499,4506) = 20272494
(i) The LCM of 4506 and 4499 is associative
LCM of 4499 and 4506 = LCM of 4506 and 4499
1. What is the LCM of 4499 and 4506?
Answer: LCM of 4499 and 4506 is 20272494.
2. What are the Factors of 4499?
Answer: Factors of 4499 are 1, 11, 409, 4499. There are 4 integers that are factors of 4499. The greatest factor of 4499 is 4499.
3. What are the Factors of 4506?
Answer: Factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506. There are 8 integers that are factors of 4506. The greatest factor of 4506 is 4506.
4. How to Find the LCM of 4499 and 4506?
Answer:
Least Common Multiple of 4499 and 4506 = 20272494
Step 1: Find the prime factorization of 4499
4499 = 11 x 409
Step 2: Find the prime factorization of 4506
4506 = 2 x 3 x 751
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20272494 = 2 x 3 x 11 x 409 x 751
Step 4: Therefore, the least common multiple of 4499 and 4506 is 20272494.