Least Common Multiple of 707 and 714
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 707 and 714 the smallest integer that is 72114 that is divisible by both numbers.
Least Common Multiple (LCM) of 707 and 714 is 72114.
LCM(707,714) = 72114
LCM of 707 and 714
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 707 and 714 by Prime method
- Least Common Multiple of 707 and 714 with GCF Formula
LCM of 707 and 714 is 72114
Least common multiple can be found by multiplying the highest exponent prime factors of 707 and 714. First we will calculate the prime factors of 707 and 714.
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
Prime Factorization of 714
| 2 | 714 |
| 3 | 357 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 714 are 2, 3, 7,17. Prime factorization of 714 in exponential form is:
714 = 21×31×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 707 and 714.
LCM(707,714) = 21×31×71×171×1011
LCM(707,714) = 72114
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Least Common Multiple of 707 and 714 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 707 and 714, than apply into the LCM equation.
GCF(707,714) = 7
LCM(707,714) = ( 707 × 714) / 7
LCM(707,714) = 504798 / 7
LCM(707,714) = 72114
Properties of LCM 707 and 714
(i) The LCM of 714 and 707 is associative
LCM of 707 and 714 = LCM of 714 and 707
Related Least Common Multiples of 707
Related Least Common Multiples of 714
Frequently Asked Questions on LCM of 707 and 714
1. What is the LCM of 707 and 714?
Answer: LCM of 707 and 714 is 72114.
2. 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.
3. What are the Factors of 714?
Answer: Factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. There are 16 integers that are factors of 714. The greatest factor of 714 is 714.
4. How to Find the LCM of 707 and 714?
Answer:
Least Common Multiple of 707 and 714 = 72114
Step 1: Find the prime factorization of 707
707 = 7 x 101
Step 2: Find the prime factorization of 714
714 = 2 x 3 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72114 = 2 x 3 x 7 x 17 x 101
Step 4: Therefore, the least common multiple of 707 and 714 is 72114.