Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3079 and 3084 the smallest integer that is 9495636 that is divisible by both numbers.
Least Common Multiple (LCM) of 3079 and 3084 is 9495636.
LCM(3079,3084) = 9495636
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 3079 and 3084. First we will calculate the prime factors of 3079 and 3084.
Prime Factorization of 3079
3079 | 3079 |
1 |
Prime factors of 3079 are 3079. Prime factorization of 3079 in exponential form is:
3079 = 30791
Prime Factorization of 3084
2 | 3084 |
2 | 1542 |
3 | 771 |
257 | 257 |
1 |
Prime factors of 3084 are 2, 3,257. Prime factorization of 3084 in exponential form is:
3084 = 22×31×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 3079 and 3084.
LCM(3079,3084) = 22×31×2571×30791
LCM(3079,3084) = 9495636
Factors of 3079
List of positive integer factors of 3079 that divides 3079 without a remainder.
1, 3079
Factors of 3084
List of positive integer factors of 3084 that divides 3084 without a remainder.
1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3079 and 3084, than apply into the LCM equation.
GCF(3079,3084) = 1
LCM(3079,3084) = ( 3079 × 3084) / 1
LCM(3079,3084) = 9495636 / 1
LCM(3079,3084) = 9495636
(i) The LCM of 3084 and 3079 is associative
LCM of 3079 and 3084 = LCM of 3084 and 3079
1. What is the LCM of 3079 and 3084?
Answer: LCM of 3079 and 3084 is 9495636.
2. What are the Factors of 3079?
Answer: Factors of 3079 are 1, 3079. There are 2 integers that are factors of 3079. The greatest factor of 3079 is 3079.
3. What are the Factors of 3084?
Answer: Factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084. There are 12 integers that are factors of 3084. The greatest factor of 3084 is 3084.
4. How to Find the LCM of 3079 and 3084?
Answer:
Least Common Multiple of 3079 and 3084 = 9495636
Step 1: Find the prime factorization of 3079
3079 = 3079
Step 2: Find the prime factorization of 3084
3084 = 2 x 2 x 3 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9495636 = 2 x 2 x 3 x 257 x 3079
Step 4: Therefore, the least common multiple of 3079 and 3084 is 9495636.