Least Common Multiple of 698 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 698 and 703 the smallest integer that is 490694 that is divisible by both numbers.
Least Common Multiple (LCM) of 698 and 703 is 490694.
LCM(698,703) = 490694
LCM of 698 and 703
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 698 and 703 by Prime method
- Least Common Multiple of 698 and 703 with GCF Formula
LCM of 698 and 703 is 490694
Least common multiple can be found by multiplying the highest exponent prime factors of 698 and 703. First we will calculate the prime factors of 698 and 703.
Prime Factorization of 698
| 2 | 698 |
| 349 | 349 |
| 1 |
Prime factors of 698 are 2,349. Prime factorization of 698 in exponential form is:
698 = 21×3491
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 698 and 703.
LCM(698,703) = 21×191×371×3491
LCM(698,703) = 490694
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Least Common Multiple of 698 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 698 and 703, than apply into the LCM equation.
GCF(698,703) = 1
LCM(698,703) = ( 698 × 703) / 1
LCM(698,703) = 490694 / 1
LCM(698,703) = 490694
Properties of LCM 698 and 703
(i) The LCM of 703 and 698 is associative
LCM of 698 and 703 = LCM of 703 and 698
Related Least Common Multiples of 698
Related Least Common Multiples of 703
Frequently Asked Questions on LCM of 698 and 703
1. What is the LCM of 698 and 703?
Answer: LCM of 698 and 703 is 490694.
2. What are the Factors of 698?
Answer: Factors of 698 are 1, 2, 349, 698. There are 4 integers that are factors of 698. The greatest factor of 698 is 698.
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 698 and 703?
Answer:
Least Common Multiple of 698 and 703 = 490694
Step 1: Find the prime factorization of 698
698 = 2 x 349
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 = 490694 = 2 x 19 x 37 x 349
Step 4: Therefore, the least common multiple of 698 and 703 is 490694.
