Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1695 and 1698 the smallest integer that is 959370 that is divisible by both numbers.
Least Common Multiple (LCM) of 1695 and 1698 is 959370.
LCM(1695,1698) = 959370
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 1695 and 1698. First we will calculate the prime factors of 1695 and 1698.
Prime Factorization of 1695
3 | 1695 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 1695 are 3, 5,113. Prime factorization of 1695 in exponential form is:
1695 = 31×51×1131
Prime Factorization of 1698
2 | 1698 |
3 | 849 |
283 | 283 |
1 |
Prime factors of 1698 are 2, 3,283. Prime factorization of 1698 in exponential form is:
1698 = 21×31×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 1695 and 1698.
LCM(1695,1698) = 21×31×51×1131×2831
LCM(1695,1698) = 959370
Factors of 1695
List of positive integer factors of 1695 that divides 1695 without a remainder.
1, 3, 5, 15, 113, 339, 565, 1695
Factors of 1698
List of positive integer factors of 1698 that divides 1698 without a remainder.
1, 2, 3, 6, 283, 566, 849, 1698
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1695 and 1698, than apply into the LCM equation.
GCF(1695,1698) = 3
LCM(1695,1698) = ( 1695 × 1698) / 3
LCM(1695,1698) = 2878110 / 3
LCM(1695,1698) = 959370
(i) The LCM of 1698 and 1695 is associative
LCM of 1695 and 1698 = LCM of 1698 and 1695
1. What is the LCM of 1695 and 1698?
Answer: LCM of 1695 and 1698 is 959370.
2. What are the Factors of 1695?
Answer: Factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695. There are 8 integers that are factors of 1695. The greatest factor of 1695 is 1695.
3. What are the Factors of 1698?
Answer: Factors of 1698 are 1, 2, 3, 6, 283, 566, 849, 1698. There are 8 integers that are factors of 1698. The greatest factor of 1698 is 1698.
4. How to Find the LCM of 1695 and 1698?
Answer:
Least Common Multiple of 1695 and 1698 = 959370
Step 1: Find the prime factorization of 1695
1695 = 3 x 5 x 113
Step 2: Find the prime factorization of 1698
1698 = 2 x 3 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 959370 = 2 x 3 x 5 x 113 x 283
Step 4: Therefore, the least common multiple of 1695 and 1698 is 959370.