Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5210 and 5218 the smallest integer that is 13592890 that is divisible by both numbers.
Least Common Multiple (LCM) of 5210 and 5218 is 13592890.
LCM(5210,5218) = 13592890
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 5210 and 5218. First we will calculate the prime factors of 5210 and 5218.
Prime Factorization of 5210
2 | 5210 |
5 | 2605 |
521 | 521 |
1 |
Prime factors of 5210 are 2, 5,521. Prime factorization of 5210 in exponential form is:
5210 = 21×51×5211
Prime Factorization of 5218
2 | 5218 |
2609 | 2609 |
1 |
Prime factors of 5218 are 2,2609. Prime factorization of 5218 in exponential form is:
5218 = 21×26091
Now multiplying the highest exponent prime factors to calculate the LCM of 5210 and 5218.
LCM(5210,5218) = 21×51×5211×26091
LCM(5210,5218) = 13592890
Factors of 5210
List of positive integer factors of 5210 that divides 5210 without a remainder.
1, 2, 5, 10, 521, 1042, 2605, 5210
Factors of 5218
List of positive integer factors of 5218 that divides 5218 without a remainder.
1, 2, 2609, 5218
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5210 and 5218, than apply into the LCM equation.
GCF(5210,5218) = 2
LCM(5210,5218) = ( 5210 × 5218) / 2
LCM(5210,5218) = 27185780 / 2
LCM(5210,5218) = 13592890
(i) The LCM of 5218 and 5210 is associative
LCM of 5210 and 5218 = LCM of 5218 and 5210
1. What is the LCM of 5210 and 5218?
Answer: LCM of 5210 and 5218 is 13592890.
2. What are the Factors of 5210?
Answer: Factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210. There are 8 integers that are factors of 5210. The greatest factor of 5210 is 5210.
3. What are the Factors of 5218?
Answer: Factors of 5218 are 1, 2, 2609, 5218. There are 4 integers that are factors of 5218. The greatest factor of 5218 is 5218.
4. How to Find the LCM of 5210 and 5218?
Answer:
Least Common Multiple of 5210 and 5218 = 13592890
Step 1: Find the prime factorization of 5210
5210 = 2 x 5 x 521
Step 2: Find the prime factorization of 5218
5218 = 2 x 2609
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13592890 = 2 x 5 x 521 x 2609
Step 4: Therefore, the least common multiple of 5210 and 5218 is 13592890.