Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1658 and 1662 the smallest integer that is 1377798 that is divisible by both numbers.
Least Common Multiple (LCM) of 1658 and 1662 is 1377798.
LCM(1658,1662) = 1377798
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 1658 and 1662. First we will calculate the prime factors of 1658 and 1662.
Prime Factorization of 1658
2 | 1658 |
829 | 829 |
1 |
Prime factors of 1658 are 2,829. Prime factorization of 1658 in exponential form is:
1658 = 21×8291
Prime Factorization of 1662
2 | 1662 |
3 | 831 |
277 | 277 |
1 |
Prime factors of 1662 are 2, 3,277. Prime factorization of 1662 in exponential form is:
1662 = 21×31×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 1658 and 1662.
LCM(1658,1662) = 21×31×2771×8291
LCM(1658,1662) = 1377798
Factors of 1658
List of positive integer factors of 1658 that divides 1658 without a remainder.
1, 2, 829, 1658
Factors of 1662
List of positive integer factors of 1662 that divides 1662 without a remainder.
1, 2, 3, 6, 277, 554, 831, 1662
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1658 and 1662, than apply into the LCM equation.
GCF(1658,1662) = 2
LCM(1658,1662) = ( 1658 × 1662) / 2
LCM(1658,1662) = 2755596 / 2
LCM(1658,1662) = 1377798
(i) The LCM of 1662 and 1658 is associative
LCM of 1658 and 1662 = LCM of 1662 and 1658
1. What is the LCM of 1658 and 1662?
Answer: LCM of 1658 and 1662 is 1377798.
2. What are the Factors of 1658?
Answer: Factors of 1658 are 1, 2, 829, 1658. There are 4 integers that are factors of 1658. The greatest factor of 1658 is 1658.
3. What are the Factors of 1662?
Answer: Factors of 1662 are 1, 2, 3, 6, 277, 554, 831, 1662. There are 8 integers that are factors of 1662. The greatest factor of 1662 is 1662.
4. How to Find the LCM of 1658 and 1662?
Answer:
Least Common Multiple of 1658 and 1662 = 1377798
Step 1: Find the prime factorization of 1658
1658 = 2 x 829
Step 2: Find the prime factorization of 1662
1662 = 2 x 3 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1377798 = 2 x 3 x 277 x 829
Step 4: Therefore, the least common multiple of 1658 and 1662 is 1377798.