Least Common Multiple of 8734 and 8739
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8734 and 8739 the smallest integer that is 76326426 that is divisible by both numbers.
Least Common Multiple (LCM) of 8734 and 8739 is 76326426.
LCM(8734,8739) = 76326426
LCM of 8734 and 8739
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8734 and 8739 by Prime method
- Least Common Multiple of 8734 and 8739 with GCF Formula
LCM of 8734 and 8739 is 76326426
Least common multiple can be found by multiplying the highest exponent prime factors of 8734 and 8739. First we will calculate the prime factors of 8734 and 8739.
Prime Factorization of 8734
| 2 | 8734 |
| 11 | 4367 |
| 397 | 397 |
| 1 |
Prime factors of 8734 are 2, 11,397. Prime factorization of 8734 in exponential form is:
8734 = 21×111×3971
Prime Factorization of 8739
| 3 | 8739 |
| 3 | 2913 |
| 971 | 971 |
| 1 |
Prime factors of 8739 are 3,971. Prime factorization of 8739 in exponential form is:
8739 = 32×9711
Now multiplying the highest exponent prime factors to calculate the LCM of 8734 and 8739.
LCM(8734,8739) = 21×32×111×3971×9711
LCM(8734,8739) = 76326426
Factors of 8734
List of positive integer factors of 8734 that divides 8734 without a remainder.
1, 2, 11, 22, 397, 794, 4367, 8734
Factors of 8739
List of positive integer factors of 8739 that divides 8739 without a remainder.
1, 3, 9, 971, 2913, 8739
Least Common Multiple of 8734 and 8739 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8734 and 8739, than apply into the LCM equation.
GCF(8734,8739) = 1
LCM(8734,8739) = ( 8734 × 8739) / 1
LCM(8734,8739) = 76326426 / 1
LCM(8734,8739) = 76326426
Properties of LCM 8734 and 8739
(i) The LCM of 8739 and 8734 is associative
LCM of 8734 and 8739 = LCM of 8739 and 8734
Related Least Common Multiples of 8734
Related Least Common Multiples of 8739
Frequently Asked Questions on LCM of 8734 and 8739
1. What is the LCM of 8734 and 8739?
Answer: LCM of 8734 and 8739 is 76326426.
2. What are the Factors of 8734?
Answer: Factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734. There are 8 integers that are factors of 8734. The greatest factor of 8734 is 8734.
3. What are the Factors of 8739?
Answer: Factors of 8739 are 1, 3, 9, 971, 2913, 8739. There are 6 integers that are factors of 8739. The greatest factor of 8739 is 8739.
4. How to Find the LCM of 8734 and 8739?
Answer:
Least Common Multiple of 8734 and 8739 = 76326426
Step 1: Find the prime factorization of 8734
8734 = 2 x 11 x 397
Step 2: Find the prime factorization of 8739
8739 = 3 x 3 x 971
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 76326426 = 2 x 3 x 3 x 11 x 397 x 971
Step 4: Therefore, the least common multiple of 8734 and 8739 is 76326426.