Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5242 and 5245 the smallest integer that is 27494290 that is divisible by both numbers.
Least Common Multiple (LCM) of 5242 and 5245 is 27494290.
LCM(5242,5245) = 27494290
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 5242 and 5245. First we will calculate the prime factors of 5242 and 5245.
Prime Factorization of 5242
2 | 5242 |
2621 | 2621 |
1 |
Prime factors of 5242 are 2,2621. Prime factorization of 5242 in exponential form is:
5242 = 21×26211
Prime Factorization of 5245
5 | 5245 |
1049 | 1049 |
1 |
Prime factors of 5245 are 5,1049. Prime factorization of 5245 in exponential form is:
5245 = 51×10491
Now multiplying the highest exponent prime factors to calculate the LCM of 5242 and 5245.
LCM(5242,5245) = 21×51×10491×26211
LCM(5242,5245) = 27494290
Factors of 5242
List of positive integer factors of 5242 that divides 5242 without a remainder.
1, 2, 2621, 5242
Factors of 5245
List of positive integer factors of 5245 that divides 5245 without a remainder.
1, 5, 1049, 5245
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5242 and 5245, than apply into the LCM equation.
GCF(5242,5245) = 1
LCM(5242,5245) = ( 5242 × 5245) / 1
LCM(5242,5245) = 27494290 / 1
LCM(5242,5245) = 27494290
(i) The LCM of 5245 and 5242 is associative
LCM of 5242 and 5245 = LCM of 5245 and 5242
1. What is the LCM of 5242 and 5245?
Answer: LCM of 5242 and 5245 is 27494290.
2. What are the Factors of 5242?
Answer: Factors of 5242 are 1, 2, 2621, 5242. There are 4 integers that are factors of 5242. The greatest factor of 5242 is 5242.
3. What are the Factors of 5245?
Answer: Factors of 5245 are 1, 5, 1049, 5245. There are 4 integers that are factors of 5245. The greatest factor of 5245 is 5245.
4. How to Find the LCM of 5242 and 5245?
Answer:
Least Common Multiple of 5242 and 5245 = 27494290
Step 1: Find the prime factorization of 5242
5242 = 2 x 2621
Step 2: Find the prime factorization of 5245
5245 = 5 x 1049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27494290 = 2 x 5 x 1049 x 2621
Step 4: Therefore, the least common multiple of 5242 and 5245 is 27494290.