Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6978 and 6983 the smallest integer that is 48727374 that is divisible by both numbers.
Least Common Multiple (LCM) of 6978 and 6983 is 48727374.
LCM(6978,6983) = 48727374
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 6978 and 6983. First we will calculate the prime factors of 6978 and 6983.
Prime Factorization of 6978
2 | 6978 |
3 | 3489 |
1163 | 1163 |
1 |
Prime factors of 6978 are 2, 3,1163. Prime factorization of 6978 in exponential form is:
6978 = 21×31×11631
Prime Factorization of 6983
6983 | 6983 |
1 |
Prime factors of 6983 are 6983. Prime factorization of 6983 in exponential form is:
6983 = 69831
Now multiplying the highest exponent prime factors to calculate the LCM of 6978 and 6983.
LCM(6978,6983) = 21×31×11631×69831
LCM(6978,6983) = 48727374
Factors of 6978
List of positive integer factors of 6978 that divides 6978 without a remainder.
1, 2, 3, 6, 1163, 2326, 3489, 6978
Factors of 6983
List of positive integer factors of 6983 that divides 6983 without a remainder.
1, 6983
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6978 and 6983, than apply into the LCM equation.
GCF(6978,6983) = 1
LCM(6978,6983) = ( 6978 × 6983) / 1
LCM(6978,6983) = 48727374 / 1
LCM(6978,6983) = 48727374
(i) The LCM of 6983 and 6978 is associative
LCM of 6978 and 6983 = LCM of 6983 and 6978
1. What is the LCM of 6978 and 6983?
Answer: LCM of 6978 and 6983 is 48727374.
2. What are the Factors of 6978?
Answer: Factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978. There are 8 integers that are factors of 6978. The greatest factor of 6978 is 6978.
3. What are the Factors of 6983?
Answer: Factors of 6983 are 1, 6983. There are 2 integers that are factors of 6983. The greatest factor of 6983 is 6983.
4. How to Find the LCM of 6978 and 6983?
Answer:
Least Common Multiple of 6978 and 6983 = 48727374
Step 1: Find the prime factorization of 6978
6978 = 2 x 3 x 1163
Step 2: Find the prime factorization of 6983
6983 = 6983
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48727374 = 2 x 3 x 1163 x 6983
Step 4: Therefore, the least common multiple of 6978 and 6983 is 48727374.