Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5195 and 5202 the smallest integer that is 27024390 that is divisible by both numbers.
Least Common Multiple (LCM) of 5195 and 5202 is 27024390.
LCM(5195,5202) = 27024390
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 5195 and 5202. First we will calculate the prime factors of 5195 and 5202.
Prime Factorization of 5195
5 | 5195 |
1039 | 1039 |
1 |
Prime factors of 5195 are 5,1039. Prime factorization of 5195 in exponential form is:
5195 = 51×10391
Prime Factorization of 5202
2 | 5202 |
3 | 2601 |
3 | 867 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 5202 are 2, 3,17. Prime factorization of 5202 in exponential form is:
5202 = 21×32×172
Now multiplying the highest exponent prime factors to calculate the LCM of 5195 and 5202.
LCM(5195,5202) = 21×32×51×172×10391
LCM(5195,5202) = 27024390
Factors of 5195
List of positive integer factors of 5195 that divides 5195 without a remainder.
1, 5, 1039, 5195
Factors of 5202
List of positive integer factors of 5202 that divides 5202 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5195 and 5202, than apply into the LCM equation.
GCF(5195,5202) = 1
LCM(5195,5202) = ( 5195 × 5202) / 1
LCM(5195,5202) = 27024390 / 1
LCM(5195,5202) = 27024390
(i) The LCM of 5202 and 5195 is associative
LCM of 5195 and 5202 = LCM of 5202 and 5195
1. What is the LCM of 5195 and 5202?
Answer: LCM of 5195 and 5202 is 27024390.
2. What are the Factors of 5195?
Answer: Factors of 5195 are 1, 5, 1039, 5195. There are 4 integers that are factors of 5195. The greatest factor of 5195 is 5195.
3. What are the Factors of 5202?
Answer: Factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202. There are 18 integers that are factors of 5202. The greatest factor of 5202 is 5202.
4. How to Find the LCM of 5195 and 5202?
Answer:
Least Common Multiple of 5195 and 5202 = 27024390
Step 1: Find the prime factorization of 5195
5195 = 5 x 1039
Step 2: Find the prime factorization of 5202
5202 = 2 x 3 x 3 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27024390 = 2 x 3 x 3 x 5 x 17 x 17 x 1039
Step 4: Therefore, the least common multiple of 5195 and 5202 is 27024390.