Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1692 and 1699 the smallest integer that is 2874708 that is divisible by both numbers.
Least Common Multiple (LCM) of 1692 and 1699 is 2874708.
LCM(1692,1699) = 2874708
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 1692 and 1699. First we will calculate the prime factors of 1692 and 1699.
Prime Factorization of 1692
2 | 1692 |
2 | 846 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 1692 are 2, 3,47. Prime factorization of 1692 in exponential form is:
1692 = 22×32×471
Prime Factorization of 1699
1699 | 1699 |
1 |
Prime factors of 1699 are 1699. Prime factorization of 1699 in exponential form is:
1699 = 16991
Now multiplying the highest exponent prime factors to calculate the LCM of 1692 and 1699.
LCM(1692,1699) = 22×32×471×16991
LCM(1692,1699) = 2874708
Factors of 1692
List of positive integer factors of 1692 that divides 1692 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
Factors of 1699
List of positive integer factors of 1699 that divides 1699 without a remainder.
1, 1699
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1692 and 1699, than apply into the LCM equation.
GCF(1692,1699) = 1
LCM(1692,1699) = ( 1692 × 1699) / 1
LCM(1692,1699) = 2874708 / 1
LCM(1692,1699) = 2874708
(i) The LCM of 1699 and 1692 is associative
LCM of 1692 and 1699 = LCM of 1699 and 1692
1. What is the LCM of 1692 and 1699?
Answer: LCM of 1692 and 1699 is 2874708.
2. What are the Factors of 1692?
Answer: Factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692. There are 18 integers that are factors of 1692. The greatest factor of 1692 is 1692.
3. What are the Factors of 1699?
Answer: Factors of 1699 are 1, 1699. There are 2 integers that are factors of 1699. The greatest factor of 1699 is 1699.
4. How to Find the LCM of 1692 and 1699?
Answer:
Least Common Multiple of 1692 and 1699 = 2874708
Step 1: Find the prime factorization of 1692
1692 = 2 x 2 x 3 x 3 x 47
Step 2: Find the prime factorization of 1699
1699 = 1699
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2874708 = 2 x 2 x 3 x 3 x 47 x 1699
Step 4: Therefore, the least common multiple of 1692 and 1699 is 2874708.