Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3076 and 3079 the smallest integer that is 9471004 that is divisible by both numbers.
Least Common Multiple (LCM) of 3076 and 3079 is 9471004.
LCM(3076,3079) = 9471004
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 3076 and 3079. First we will calculate the prime factors of 3076 and 3079.
Prime Factorization of 3076
2 | 3076 |
2 | 1538 |
769 | 769 |
1 |
Prime factors of 3076 are 2,769. Prime factorization of 3076 in exponential form is:
3076 = 22×7691
Prime Factorization of 3079
3079 | 3079 |
1 |
Prime factors of 3079 are 3079. Prime factorization of 3079 in exponential form is:
3079 = 30791
Now multiplying the highest exponent prime factors to calculate the LCM of 3076 and 3079.
LCM(3076,3079) = 22×7691×30791
LCM(3076,3079) = 9471004
Factors of 3076
List of positive integer factors of 3076 that divides 3076 without a remainder.
1, 2, 4, 769, 1538, 3076
Factors of 3079
List of positive integer factors of 3079 that divides 3079 without a remainder.
1, 3079
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3076 and 3079, than apply into the LCM equation.
GCF(3076,3079) = 1
LCM(3076,3079) = ( 3076 × 3079) / 1
LCM(3076,3079) = 9471004 / 1
LCM(3076,3079) = 9471004
(i) The LCM of 3079 and 3076 is associative
LCM of 3076 and 3079 = LCM of 3079 and 3076
1. What is the LCM of 3076 and 3079?
Answer: LCM of 3076 and 3079 is 9471004.
2. What are the Factors of 3076?
Answer: Factors of 3076 are 1, 2, 4, 769, 1538, 3076. There are 6 integers that are factors of 3076. The greatest factor of 3076 is 3076.
3. 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.
4. How to Find the LCM of 3076 and 3079?
Answer:
Least Common Multiple of 3076 and 3079 = 9471004
Step 1: Find the prime factorization of 3076
3076 = 2 x 2 x 769
Step 2: Find the prime factorization of 3079
3079 = 3079
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9471004 = 2 x 2 x 769 x 3079
Step 4: Therefore, the least common multiple of 3076 and 3079 is 9471004.