Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8680 and 8684 the smallest integer that is 18844280 that is divisible by both numbers.
Least Common Multiple (LCM) of 8680 and 8684 is 18844280.
LCM(8680,8684) = 18844280
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 8680 and 8684. First we will calculate the prime factors of 8680 and 8684.
Prime Factorization of 8680
2 | 8680 |
2 | 4340 |
2 | 2170 |
5 | 1085 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 8680 are 2, 5, 7,31. Prime factorization of 8680 in exponential form is:
8680 = 23×51×71×311
Prime Factorization of 8684
2 | 8684 |
2 | 4342 |
13 | 2171 |
167 | 167 |
1 |
Prime factors of 8684 are 2, 13,167. Prime factorization of 8684 in exponential form is:
8684 = 22×131×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 8680 and 8684.
LCM(8680,8684) = 23×51×71×131×311×1671
LCM(8680,8684) = 18844280
Factors of 8680
List of positive integer factors of 8680 that divides 8680 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680
Factors of 8684
List of positive integer factors of 8684 that divides 8684 without a remainder.
1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8680 and 8684, than apply into the LCM equation.
GCF(8680,8684) = 4
LCM(8680,8684) = ( 8680 × 8684) / 4
LCM(8680,8684) = 75377120 / 4
LCM(8680,8684) = 18844280
(i) The LCM of 8684 and 8680 is associative
LCM of 8680 and 8684 = LCM of 8684 and 8680
1. What is the LCM of 8680 and 8684?
Answer: LCM of 8680 and 8684 is 18844280.
2. What are the Factors of 8680?
Answer: Factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680. There are 32 integers that are factors of 8680. The greatest factor of 8680 is 8680.
3. What are the Factors of 8684?
Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.
4. How to Find the LCM of 8680 and 8684?
Answer:
Least Common Multiple of 8680 and 8684 = 18844280
Step 1: Find the prime factorization of 8680
8680 = 2 x 2 x 2 x 5 x 7 x 31
Step 2: Find the prime factorization of 8684
8684 = 2 x 2 x 13 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18844280 = 2 x 2 x 2 x 5 x 7 x 13 x 31 x 167
Step 4: Therefore, the least common multiple of 8680 and 8684 is 18844280.