Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6074 and 6079 the smallest integer that is 36923846 that is divisible by both numbers.
Least Common Multiple (LCM) of 6074 and 6079 is 36923846.
LCM(6074,6079) = 36923846
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 6074 and 6079. First we will calculate the prime factors of 6074 and 6079.
Prime Factorization of 6074
2 | 6074 |
3037 | 3037 |
1 |
Prime factors of 6074 are 2,3037. Prime factorization of 6074 in exponential form is:
6074 = 21×30371
Prime Factorization of 6079
6079 | 6079 |
1 |
Prime factors of 6079 are 6079. Prime factorization of 6079 in exponential form is:
6079 = 60791
Now multiplying the highest exponent prime factors to calculate the LCM of 6074 and 6079.
LCM(6074,6079) = 21×30371×60791
LCM(6074,6079) = 36923846
Factors of 6074
List of positive integer factors of 6074 that divides 6074 without a remainder.
1, 2, 3037, 6074
Factors of 6079
List of positive integer factors of 6079 that divides 6079 without a remainder.
1, 6079
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6074 and 6079, than apply into the LCM equation.
GCF(6074,6079) = 1
LCM(6074,6079) = ( 6074 × 6079) / 1
LCM(6074,6079) = 36923846 / 1
LCM(6074,6079) = 36923846
(i) The LCM of 6079 and 6074 is associative
LCM of 6074 and 6079 = LCM of 6079 and 6074
1. What is the LCM of 6074 and 6079?
Answer: LCM of 6074 and 6079 is 36923846.
2. What are the Factors of 6074?
Answer: Factors of 6074 are 1, 2, 3037, 6074. There are 4 integers that are factors of 6074. The greatest factor of 6074 is 6074.
3. What are the Factors of 6079?
Answer: Factors of 6079 are 1, 6079. There are 2 integers that are factors of 6079. The greatest factor of 6079 is 6079.
4. How to Find the LCM of 6074 and 6079?
Answer:
Least Common Multiple of 6074 and 6079 = 36923846
Step 1: Find the prime factorization of 6074
6074 = 2 x 3037
Step 2: Find the prime factorization of 6079
6079 = 6079
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36923846 = 2 x 3037 x 6079
Step 4: Therefore, the least common multiple of 6074 and 6079 is 36923846.