Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4495 and 4503 the smallest integer that is 20240985 that is divisible by both numbers.
Least Common Multiple (LCM) of 4495 and 4503 is 20240985.
LCM(4495,4503) = 20240985
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 4495 and 4503. First we will calculate the prime factors of 4495 and 4503.
Prime Factorization of 4495
5 | 4495 |
29 | 899 |
31 | 31 |
1 |
Prime factors of 4495 are 5, 29,31. Prime factorization of 4495 in exponential form is:
4495 = 51×291×311
Prime Factorization of 4503
3 | 4503 |
19 | 1501 |
79 | 79 |
1 |
Prime factors of 4503 are 3, 19,79. Prime factorization of 4503 in exponential form is:
4503 = 31×191×791
Now multiplying the highest exponent prime factors to calculate the LCM of 4495 and 4503.
LCM(4495,4503) = 31×51×191×291×311×791
LCM(4495,4503) = 20240985
Factors of 4495
List of positive integer factors of 4495 that divides 4495 without a remainder.
1, 5, 29, 31, 145, 155, 899, 4495
Factors of 4503
List of positive integer factors of 4503 that divides 4503 without a remainder.
1, 3, 19, 57, 79, 237, 1501, 4503
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4495 and 4503, than apply into the LCM equation.
GCF(4495,4503) = 1
LCM(4495,4503) = ( 4495 × 4503) / 1
LCM(4495,4503) = 20240985 / 1
LCM(4495,4503) = 20240985
(i) The LCM of 4503 and 4495 is associative
LCM of 4495 and 4503 = LCM of 4503 and 4495
1. What is the LCM of 4495 and 4503?
Answer: LCM of 4495 and 4503 is 20240985.
2. What are the Factors of 4495?
Answer: Factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495. There are 8 integers that are factors of 4495. The greatest factor of 4495 is 4495.
3. What are the Factors of 4503?
Answer: Factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503. There are 8 integers that are factors of 4503. The greatest factor of 4503 is 4503.
4. How to Find the LCM of 4495 and 4503?
Answer:
Least Common Multiple of 4495 and 4503 = 20240985
Step 1: Find the prime factorization of 4495
4495 = 5 x 29 x 31
Step 2: Find the prime factorization of 4503
4503 = 3 x 19 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20240985 = 3 x 5 x 19 x 29 x 31 x 79
Step 4: Therefore, the least common multiple of 4495 and 4503 is 20240985.