Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5246 and 5250 the smallest integer that is 13770750 that is divisible by both numbers.
Least Common Multiple (LCM) of 5246 and 5250 is 13770750.
LCM(5246,5250) = 13770750
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 5246 and 5250. First we will calculate the prime factors of 5246 and 5250.
Prime Factorization of 5246
2 | 5246 |
43 | 2623 |
61 | 61 |
1 |
Prime factors of 5246 are 2, 43,61. Prime factorization of 5246 in exponential form is:
5246 = 21×431×611
Prime Factorization of 5250
2 | 5250 |
3 | 2625 |
5 | 875 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 5250 are 2, 3, 5,7. Prime factorization of 5250 in exponential form is:
5250 = 21×31×53×71
Now multiplying the highest exponent prime factors to calculate the LCM of 5246 and 5250.
LCM(5246,5250) = 21×31×53×71×431×611
LCM(5246,5250) = 13770750
Factors of 5246
List of positive integer factors of 5246 that divides 5246 without a remainder.
1, 2, 43, 61, 86, 122, 2623, 5246
Factors of 5250
List of positive integer factors of 5250 that divides 5250 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5246 and 5250, than apply into the LCM equation.
GCF(5246,5250) = 2
LCM(5246,5250) = ( 5246 × 5250) / 2
LCM(5246,5250) = 27541500 / 2
LCM(5246,5250) = 13770750
(i) The LCM of 5250 and 5246 is associative
LCM of 5246 and 5250 = LCM of 5250 and 5246
1. What is the LCM of 5246 and 5250?
Answer: LCM of 5246 and 5250 is 13770750.
2. What are the Factors of 5246?
Answer: Factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246. There are 8 integers that are factors of 5246. The greatest factor of 5246 is 5246.
3. What are the Factors of 5250?
Answer: Factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250. There are 32 integers that are factors of 5250. The greatest factor of 5250 is 5250.
4. How to Find the LCM of 5246 and 5250?
Answer:
Least Common Multiple of 5246 and 5250 = 13770750
Step 1: Find the prime factorization of 5246
5246 = 2 x 43 x 61
Step 2: Find the prime factorization of 5250
5250 = 2 x 3 x 5 x 5 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13770750 = 2 x 3 x 5 x 5 x 5 x 7 x 43 x 61
Step 4: Therefore, the least common multiple of 5246 and 5250 is 13770750.