Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 87730 and 87737 the smallest integer that is 7697167010 that is divisible by both numbers.
Least Common Multiple (LCM) of 87730 and 87737 is 7697167010.
LCM(87730,87737) = 7697167010
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 87730 and 87737. First we will calculate the prime factors of 87730 and 87737.
Prime Factorization of 87730
2 | 87730 |
5 | 43865 |
31 | 8773 |
283 | 283 |
1 |
Prime factors of 87730 are 2, 5, 31,283. Prime factorization of 87730 in exponential form is:
87730 = 21×51×311×2831
Prime Factorization of 87737
13 | 87737 |
17 | 6749 |
397 | 397 |
1 |
Prime factors of 87737 are 13, 17,397. Prime factorization of 87737 in exponential form is:
87737 = 131×171×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 87730 and 87737.
LCM(87730,87737) = 21×51×131×171×311×2831×3971
LCM(87730,87737) = 7697167010
Factors of 87730
List of positive integer factors of 87730 that divides 87730 without a remainder.
1, 2, 5, 10, 31, 62, 155, 283, 310, 566, 1415, 2830, 8773, 17546, 43865, 87730
Factors of 87737
List of positive integer factors of 87737 that divides 87737 without a remainder.
1, 13, 17, 221, 397, 5161, 6749, 87737
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87730 and 87737, than apply into the LCM equation.
GCF(87730,87737) = 1
LCM(87730,87737) = ( 87730 × 87737) / 1
LCM(87730,87737) = 7697167010 / 1
LCM(87730,87737) = 7697167010
(i) The LCM of 87737 and 87730 is associative
LCM of 87730 and 87737 = LCM of 87737 and 87730
1. What is the LCM of 87730 and 87737?
Answer: LCM of 87730 and 87737 is 7697167010.
2. What are the Factors of 87730?
Answer: Factors of 87730 are 1, 2, 5, 10, 31, 62, 155, 283, 310, 566, 1415, 2830, 8773, 17546, 43865, 87730. There are 16 integers that are factors of 87730. The greatest factor of 87730 is 87730.
3. What are the Factors of 87737?
Answer: Factors of 87737 are 1, 13, 17, 221, 397, 5161, 6749, 87737. There are 8 integers that are factors of 87737. The greatest factor of 87737 is 87737.
4. How to Find the LCM of 87730 and 87737?
Answer:
Least Common Multiple of 87730 and 87737 = 7697167010
Step 1: Find the prime factorization of 87730
87730 = 2 x 5 x 31 x 283
Step 2: Find the prime factorization of 87737
87737 = 13 x 17 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7697167010 = 2 x 5 x 13 x 17 x 31 x 283 x 397
Step 4: Therefore, the least common multiple of 87730 and 87737 is 7697167010.