Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4492 and 4500 the smallest integer that is 5053500 that is divisible by both numbers.
Least Common Multiple (LCM) of 4492 and 4500 is 5053500.
LCM(4492,4500) = 5053500
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 4492 and 4500. First we will calculate the prime factors of 4492 and 4500.
Prime Factorization of 4492
2 | 4492 |
2 | 2246 |
1123 | 1123 |
1 |
Prime factors of 4492 are 2,1123. Prime factorization of 4492 in exponential form is:
4492 = 22×11231
Prime Factorization of 4500
2 | 4500 |
2 | 2250 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 4500 are 2, 3,5. Prime factorization of 4500 in exponential form is:
4500 = 22×32×53
Now multiplying the highest exponent prime factors to calculate the LCM of 4492 and 4500.
LCM(4492,4500) = 22×32×53×11231
LCM(4492,4500) = 5053500
Factors of 4492
List of positive integer factors of 4492 that divides 4492 without a remainder.
1, 2, 4, 1123, 2246, 4492
Factors of 4500
List of positive integer factors of 4500 that divides 4500 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4492 and 4500, than apply into the LCM equation.
GCF(4492,4500) = 4
LCM(4492,4500) = ( 4492 × 4500) / 4
LCM(4492,4500) = 20214000 / 4
LCM(4492,4500) = 5053500
(i) The LCM of 4500 and 4492 is associative
LCM of 4492 and 4500 = LCM of 4500 and 4492
1. What is the LCM of 4492 and 4500?
Answer: LCM of 4492 and 4500 is 5053500.
2. What are the Factors of 4492?
Answer: Factors of 4492 are 1, 2, 4, 1123, 2246, 4492. There are 6 integers that are factors of 4492. The greatest factor of 4492 is 4492.
3. What are the Factors of 4500?
Answer: Factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. There are 36 integers that are factors of 4500. The greatest factor of 4500 is 4500.
4. How to Find the LCM of 4492 and 4500?
Answer:
Least Common Multiple of 4492 and 4500 = 5053500
Step 1: Find the prime factorization of 4492
4492 = 2 x 2 x 1123
Step 2: Find the prime factorization of 4500
4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5053500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 1123
Step 4: Therefore, the least common multiple of 4492 and 4500 is 5053500.