Least Common Multiple of 7035 and 7042
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7035 and 7042 the smallest integer that is 7077210 that is divisible by both numbers.
Least Common Multiple (LCM) of 7035 and 7042 is 7077210.
LCM(7035,7042) = 7077210
LCM of 7035 and 7042
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7035 and 7042 by Prime method
- Least Common Multiple of 7035 and 7042 with GCF Formula
LCM of 7035 and 7042 is 7077210
Least common multiple can be found by multiplying the highest exponent prime factors of 7035 and 7042. First we will calculate the prime factors of 7035 and 7042.
Prime Factorization of 7035
| 3 | 7035 |
| 5 | 2345 |
| 7 | 469 |
| 67 | 67 |
| 1 |
Prime factors of 7035 are 3, 5, 7,67. Prime factorization of 7035 in exponential form is:
7035 = 31×51×71×671
Prime Factorization of 7042
| 2 | 7042 |
| 7 | 3521 |
| 503 | 503 |
| 1 |
Prime factors of 7042 are 2, 7,503. Prime factorization of 7042 in exponential form is:
7042 = 21×71×5031
Now multiplying the highest exponent prime factors to calculate the LCM of 7035 and 7042.
LCM(7035,7042) = 21×31×51×71×671×5031
LCM(7035,7042) = 7077210
Factors of 7035
List of positive integer factors of 7035 that divides 7035 without a remainder.
1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
Factors of 7042
List of positive integer factors of 7042 that divides 7042 without a remainder.
1, 2, 7, 14, 503, 1006, 3521, 7042
Least Common Multiple of 7035 and 7042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7035 and 7042, than apply into the LCM equation.
GCF(7035,7042) = 7
LCM(7035,7042) = ( 7035 × 7042) / 7
LCM(7035,7042) = 49540470 / 7
LCM(7035,7042) = 7077210
Properties of LCM 7035 and 7042
(i) The LCM of 7042 and 7035 is associative
LCM of 7035 and 7042 = LCM of 7042 and 7035
Related Least Common Multiples of 7035
Related Least Common Multiples of 7042
Frequently Asked Questions on LCM of 7035 and 7042
1. What is the LCM of 7035 and 7042?
Answer: LCM of 7035 and 7042 is 7077210.
2. What are the Factors of 7035?
Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.
3. What are the Factors of 7042?
Answer: Factors of 7042 are 1, 2, 7, 14, 503, 1006, 3521, 7042. There are 8 integers that are factors of 7042. The greatest factor of 7042 is 7042.
4. How to Find the LCM of 7035 and 7042?
Answer:
Least Common Multiple of 7035 and 7042 = 7077210
Step 1: Find the prime factorization of 7035
7035 = 3 x 5 x 7 x 67
Step 2: Find the prime factorization of 7042
7042 = 2 x 7 x 503
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7077210 = 2 x 3 x 5 x 7 x 67 x 503
Step 4: Therefore, the least common multiple of 7035 and 7042 is 7077210.