Least Common Multiple of 700 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 700 and 707 the smallest integer that is 70700 that is divisible by both numbers.
Least Common Multiple (LCM) of 700 and 707 is 70700.
LCM(700,707) = 70700
LCM of 700 and 707
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 700 and 707 by Prime method
- Least Common Multiple of 700 and 707 with GCF Formula
LCM of 700 and 707 is 70700
Least common multiple can be found by multiplying the highest exponent prime factors of 700 and 707. First we will calculate the prime factors of 700 and 707.
Prime Factorization of 700
| 2 | 700 |
| 2 | 350 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 700 are 2, 5,7. Prime factorization of 700 in exponential form is:
700 = 22×52×71
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 700 and 707.
LCM(700,707) = 22×52×71×1011
LCM(700,707) = 70700
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Least Common Multiple of 700 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 700 and 707, than apply into the LCM equation.
GCF(700,707) = 7
LCM(700,707) = ( 700 × 707) / 7
LCM(700,707) = 494900 / 7
LCM(700,707) = 70700
Properties of LCM 700 and 707
(i) The LCM of 707 and 700 is associative
LCM of 700 and 707 = LCM of 707 and 700
Related Least Common Multiples of 700
Related Least Common Multiples of 707
Frequently Asked Questions on LCM of 700 and 707
1. What is the LCM of 700 and 707?
Answer: LCM of 700 and 707 is 70700.
2. What are the Factors of 700?
Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.
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 700 and 707?
Answer:
Least Common Multiple of 700 and 707 = 70700
Step 1: Find the prime factorization of 700
700 = 2 x 2 x 5 x 5 x 7
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 = 70700 = 2 x 2 x 5 x 5 x 7 x 101
Step 4: Therefore, the least common multiple of 700 and 707 is 70700.