Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4501 and 4507 the smallest integer that is 20286007 that is divisible by both numbers.
Least Common Multiple (LCM) of 4501 and 4507 is 20286007.
LCM(4501,4507) = 20286007
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 4501 and 4507. First we will calculate the prime factors of 4501 and 4507.
Prime Factorization of 4501
7 | 4501 |
643 | 643 |
1 |
Prime factors of 4501 are 7,643. Prime factorization of 4501 in exponential form is:
4501 = 71×6431
Prime Factorization of 4507
4507 | 4507 |
1 |
Prime factors of 4507 are 4507. Prime factorization of 4507 in exponential form is:
4507 = 45071
Now multiplying the highest exponent prime factors to calculate the LCM of 4501 and 4507.
LCM(4501,4507) = 71×6431×45071
LCM(4501,4507) = 20286007
Factors of 4501
List of positive integer factors of 4501 that divides 4501 without a remainder.
1, 7, 643, 4501
Factors of 4507
List of positive integer factors of 4507 that divides 4507 without a remainder.
1, 4507
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4501 and 4507, than apply into the LCM equation.
GCF(4501,4507) = 1
LCM(4501,4507) = ( 4501 × 4507) / 1
LCM(4501,4507) = 20286007 / 1
LCM(4501,4507) = 20286007
(i) The LCM of 4507 and 4501 is associative
LCM of 4501 and 4507 = LCM of 4507 and 4501
1. What is the LCM of 4501 and 4507?
Answer: LCM of 4501 and 4507 is 20286007.
2. What are the Factors of 4501?
Answer: Factors of 4501 are 1, 7, 643, 4501. There are 4 integers that are factors of 4501. The greatest factor of 4501 is 4501.
3. What are the Factors of 4507?
Answer: Factors of 4507 are 1, 4507. There are 2 integers that are factors of 4507. The greatest factor of 4507 is 4507.
4. How to Find the LCM of 4501 and 4507?
Answer:
Least Common Multiple of 4501 and 4507 = 20286007
Step 1: Find the prime factorization of 4501
4501 = 7 x 643
Step 2: Find the prime factorization of 4507
4507 = 4507
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20286007 = 7 x 643 x 4507
Step 4: Therefore, the least common multiple of 4501 and 4507 is 20286007.