Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7039 and 7043 the smallest integer that is 49575677 that is divisible by both numbers.
Least Common Multiple (LCM) of 7039 and 7043 is 49575677.
LCM(7039,7043) = 49575677
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 7039 and 7043. First we will calculate the prime factors of 7039 and 7043.
Prime Factorization of 7039
7039 | 7039 |
1 |
Prime factors of 7039 are 7039. Prime factorization of 7039 in exponential form is:
7039 = 70391
Prime Factorization of 7043
7043 | 7043 |
1 |
Prime factors of 7043 are 7043. Prime factorization of 7043 in exponential form is:
7043 = 70431
Now multiplying the highest exponent prime factors to calculate the LCM of 7039 and 7043.
LCM(7039,7043) = 70391×70431
LCM(7039,7043) = 49575677
Factors of 7039
List of positive integer factors of 7039 that divides 7039 without a remainder.
1, 7039
Factors of 7043
List of positive integer factors of 7043 that divides 7043 without a remainder.
1, 7043
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7039 and 7043, than apply into the LCM equation.
GCF(7039,7043) = 1
LCM(7039,7043) = ( 7039 × 7043) / 1
LCM(7039,7043) = 49575677 / 1
LCM(7039,7043) = 49575677
(i) The LCM of 7043 and 7039 is associative
LCM of 7039 and 7043 = LCM of 7043 and 7039
1. What is the LCM of 7039 and 7043?
Answer: LCM of 7039 and 7043 is 49575677.
2. What are the Factors of 7039?
Answer: Factors of 7039 are 1, 7039. There are 2 integers that are factors of 7039. The greatest factor of 7039 is 7039.
3. What are the Factors of 7043?
Answer: Factors of 7043 are 1, 7043. There are 2 integers that are factors of 7043. The greatest factor of 7043 is 7043.
4. How to Find the LCM of 7039 and 7043?
Answer:
Least Common Multiple of 7039 and 7043 = 49575677
Step 1: Find the prime factorization of 7039
7039 = 7039
Step 2: Find the prime factorization of 7043
7043 = 7043
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49575677 = 7039 x 7043
Step 4: Therefore, the least common multiple of 7039 and 7043 is 49575677.