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 3083 the smallest integer that is 9492557 that is divisible by both numbers.
Least Common Multiple (LCM) of 3079 and 3083 is 9492557.
LCM(3079,3083) = 9492557
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 3083. First we will calculate the prime factors of 3079 and 3083.
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 3083
3083 | 3083 |
1 |
Prime factors of 3083 are 3083. Prime factorization of 3083 in exponential form is:
3083 = 30831
Now multiplying the highest exponent prime factors to calculate the LCM of 3079 and 3083.
LCM(3079,3083) = 30791×30831
LCM(3079,3083) = 9492557
Factors of 3079
List of positive integer factors of 3079 that divides 3079 without a remainder.
1, 3079
Factors of 3083
List of positive integer factors of 3083 that divides 3083 without a remainder.
1, 3083
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3079 and 3083, than apply into the LCM equation.
GCF(3079,3083) = 1
LCM(3079,3083) = ( 3079 × 3083) / 1
LCM(3079,3083) = 9492557 / 1
LCM(3079,3083) = 9492557
(i) The LCM of 3083 and 3079 is associative
LCM of 3079 and 3083 = LCM of 3083 and 3079
1. What is the LCM of 3079 and 3083?
Answer: LCM of 3079 and 3083 is 9492557.
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 3083?
Answer: Factors of 3083 are 1, 3083. There are 2 integers that are factors of 3083. The greatest factor of 3083 is 3083.
4. How to Find the LCM of 3079 and 3083?
Answer:
Least Common Multiple of 3079 and 3083 = 9492557
Step 1: Find the prime factorization of 3079
3079 = 3079
Step 2: Find the prime factorization of 3083
3083 = 3083
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9492557 = 3079 x 3083
Step 4: Therefore, the least common multiple of 3079 and 3083 is 9492557.