Least Common Multiple of 703 and 707
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 703 and 707 the smallest integer that is 497021 that is divisible by both numbers.
Least Common Multiple (LCM) of 703 and 707 is 497021.
LCM(703,707) = 497021
LCM of 703 and 707
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 703 and 707 by Prime method
- Least Common Multiple of 703 and 707 with GCF Formula
LCM of 703 and 707 is 497021
Least common multiple can be found by multiplying the highest exponent prime factors of 703 and 707. First we will calculate the prime factors of 703 and 707.
Prime Factorization of 703
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 703 are 19,37. Prime factorization of 703 in exponential form is:
703 = 191×371
Prime Factorization of 707
| 7 | 707 |
| 101 | 101 |
| 1 |
Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:
707 = 71×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 703 and 707.
LCM(703,707) = 71×191×371×1011
LCM(703,707) = 497021
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Least Common Multiple of 703 and 707 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 703 and 707, than apply into the LCM equation.
GCF(703,707) = 1
LCM(703,707) = ( 703 × 707) / 1
LCM(703,707) = 497021 / 1
LCM(703,707) = 497021
Properties of LCM 703 and 707
(i) The LCM of 707 and 703 is associative
LCM of 703 and 707 = LCM of 707 and 703
Related Least Common Multiples of 703
Related Least Common Multiples of 707
Frequently Asked Questions on LCM of 703 and 707
1. What is the LCM of 703 and 707?
Answer: LCM of 703 and 707 is 497021.
2. What are the Factors of 703?
Answer: Factors of 703 are 1, 19, 37, 703. There are 4 integers that are factors of 703. The greatest factor of 703 is 703.
3. What are the Factors of 707?
Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.
4. How to Find the LCM of 703 and 707?
Answer:
Least Common Multiple of 703 and 707 = 497021
Step 1: Find the prime factorization of 703
703 = 19 x 37
Step 2: Find the prime factorization of 707
707 = 7 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 497021 = 7 x 19 x 37 x 101
Step 4: Therefore, the least common multiple of 703 and 707 is 497021.
