Least Common Multiple of 699 and 703
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 699 and 703 the smallest integer that is 491397 that is divisible by both numbers.
Least Common Multiple (LCM) of 699 and 703 is 491397.
LCM(699,703) = 491397
LCM of 699 and 703
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 699 and 703 by Prime method
- Least Common Multiple of 699 and 703 with GCF Formula
LCM of 699 and 703 is 491397
Least common multiple can be found by multiplying the highest exponent prime factors of 699 and 703. First we will calculate the prime factors of 699 and 703.
Prime Factorization of 699
| 3 | 699 |
| 233 | 233 |
| 1 |
Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:
699 = 31×2331
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
Now multiplying the highest exponent prime factors to calculate the LCM of 699 and 703.
LCM(699,703) = 31×191×371×2331
LCM(699,703) = 491397
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Least Common Multiple of 699 and 703 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 699 and 703, than apply into the LCM equation.
GCF(699,703) = 1
LCM(699,703) = ( 699 × 703) / 1
LCM(699,703) = 491397 / 1
LCM(699,703) = 491397
Properties of LCM 699 and 703
(i) The LCM of 703 and 699 is associative
LCM of 699 and 703 = LCM of 703 and 699
Related Least Common Multiples of 699
Related Least Common Multiples of 703
Frequently Asked Questions on LCM of 699 and 703
1. What is the LCM of 699 and 703?
Answer: LCM of 699 and 703 is 491397.
2. What are the Factors of 699?
Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.
3. 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.
4. How to Find the LCM of 699 and 703?
Answer:
Least Common Multiple of 699 and 703 = 491397
Step 1: Find the prime factorization of 699
699 = 3 x 233
Step 2: Find the prime factorization of 703
703 = 19 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 491397 = 3 x 19 x 37 x 233
Step 4: Therefore, the least common multiple of 699 and 703 is 491397.
