Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 693 and 698 the smallest integer that is 483714 that is divisible by both numbers.
Least Common Multiple (LCM) of 693 and 698 is 483714.
LCM(693,698) = 483714
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 693 and 698. First we will calculate the prime factors of 693 and 698.
Prime Factorization of 693
3 | 693 |
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 693 are 3, 7,11. Prime factorization of 693 in exponential form is:
693 = 32×71×111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 693 and 698.
LCM(693,698) = 21×32×71×111×3491
LCM(693,698) = 483714
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1, 2, 349, 698
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 693 and 698, than apply into the LCM equation.
GCF(693,698) = 1
LCM(693,698) = ( 693 × 698) / 1
LCM(693,698) = 483714 / 1
LCM(693,698) = 483714
(i) The LCM of 698 and 693 is associative
LCM of 693 and 698 = LCM of 698 and 693
1. What is the LCM of 693 and 698?
Answer: LCM of 693 and 698 is 483714.
2. What are the Factors of 693?
Answer: Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. There are 12 integers that are factors of 693. The greatest factor of 693 is 693.
3. 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.
4. How to Find the LCM of 693 and 698?
Answer:
Least Common Multiple of 693 and 698 = 483714
Step 1: Find the prime factorization of 693
693 = 3 x 3 x 7 x 11
Step 2: Find the prime factorization of 698
698 = 2 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 483714 = 2 x 3 x 3 x 7 x 11 x 349
Step 4: Therefore, the least common multiple of 693 and 698 is 483714.