Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2450 and 2452 the smallest integer that is 3003700 that is divisible by both numbers.
Least Common Multiple (LCM) of 2450 and 2452 is 3003700.
LCM(2450,2452) = 3003700
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 2450 and 2452. First we will calculate the prime factors of 2450 and 2452.
Prime Factorization of 2450
2 | 2450 |
5 | 1225 |
5 | 245 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 2450 are 2, 5,7. Prime factorization of 2450 in exponential form is:
2450 = 21×52×72
Prime Factorization of 2452
2 | 2452 |
2 | 1226 |
613 | 613 |
1 |
Prime factors of 2452 are 2,613. Prime factorization of 2452 in exponential form is:
2452 = 22×6131
Now multiplying the highest exponent prime factors to calculate the LCM of 2450 and 2452.
LCM(2450,2452) = 22×52×72×6131
LCM(2450,2452) = 3003700
Factors of 2450
List of positive integer factors of 2450 that divides 2450 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450
Factors of 2452
List of positive integer factors of 2452 that divides 2452 without a remainder.
1, 2, 4, 613, 1226, 2452
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2450 and 2452, than apply into the LCM equation.
GCF(2450,2452) = 2
LCM(2450,2452) = ( 2450 × 2452) / 2
LCM(2450,2452) = 6007400 / 2
LCM(2450,2452) = 3003700
(i) The LCM of 2452 and 2450 is associative
LCM of 2450 and 2452 = LCM of 2452 and 2450
1. What is the LCM of 2450 and 2452?
Answer: LCM of 2450 and 2452 is 3003700.
2. What are the Factors of 2450?
Answer: Factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450. There are 18 integers that are factors of 2450. The greatest factor of 2450 is 2450.
3. What are the Factors of 2452?
Answer: Factors of 2452 are 1, 2, 4, 613, 1226, 2452. There are 6 integers that are factors of 2452. The greatest factor of 2452 is 2452.
4. How to Find the LCM of 2450 and 2452?
Answer:
Least Common Multiple of 2450 and 2452 = 3003700
Step 1: Find the prime factorization of 2450
2450 = 2 x 5 x 5 x 7 x 7
Step 2: Find the prime factorization of 2452
2452 = 2 x 2 x 613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3003700 = 2 x 2 x 5 x 5 x 7 x 7 x 613
Step 4: Therefore, the least common multiple of 2450 and 2452 is 3003700.