Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8978 and 8983 the smallest integer that is 80649374 that is divisible by both numbers.
Least Common Multiple (LCM) of 8978 and 8983 is 80649374.
LCM(8978,8983) = 80649374
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 8978 and 8983. First we will calculate the prime factors of 8978 and 8983.
Prime Factorization of 8978
2 | 8978 |
67 | 4489 |
67 | 67 |
1 |
Prime factors of 8978 are 2,67. Prime factorization of 8978 in exponential form is:
8978 = 21×672
Prime Factorization of 8983
13 | 8983 |
691 | 691 |
1 |
Prime factors of 8983 are 13,691. Prime factorization of 8983 in exponential form is:
8983 = 131×6911
Now multiplying the highest exponent prime factors to calculate the LCM of 8978 and 8983.
LCM(8978,8983) = 21×131×672×6911
LCM(8978,8983) = 80649374
Factors of 8978
List of positive integer factors of 8978 that divides 8978 without a remainder.
1, 2, 67, 134, 4489, 8978
Factors of 8983
List of positive integer factors of 8983 that divides 8983 without a remainder.
1, 13, 691, 8983
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8978 and 8983, than apply into the LCM equation.
GCF(8978,8983) = 1
LCM(8978,8983) = ( 8978 × 8983) / 1
LCM(8978,8983) = 80649374 / 1
LCM(8978,8983) = 80649374
(i) The LCM of 8983 and 8978 is associative
LCM of 8978 and 8983 = LCM of 8983 and 8978
1. What is the LCM of 8978 and 8983?
Answer: LCM of 8978 and 8983 is 80649374.
2. What are the Factors of 8978?
Answer: Factors of 8978 are 1, 2, 67, 134, 4489, 8978. There are 6 integers that are factors of 8978. The greatest factor of 8978 is 8978.
3. What are the Factors of 8983?
Answer: Factors of 8983 are 1, 13, 691, 8983. There are 4 integers that are factors of 8983. The greatest factor of 8983 is 8983.
4. How to Find the LCM of 8978 and 8983?
Answer:
Least Common Multiple of 8978 and 8983 = 80649374
Step 1: Find the prime factorization of 8978
8978 = 2 x 67 x 67
Step 2: Find the prime factorization of 8983
8983 = 13 x 691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80649374 = 2 x 13 x 67 x 67 x 691
Step 4: Therefore, the least common multiple of 8978 and 8983 is 80649374.