Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1802 and 1803 the smallest integer that is 3249006 that is divisible by both numbers.
Least Common Multiple (LCM) of 1802 and 1803 is 3249006.
LCM(1802,1803) = 3249006
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 1802 and 1803. First we will calculate the prime factors of 1802 and 1803.
Prime Factorization of 1802
2 | 1802 |
17 | 901 |
53 | 53 |
1 |
Prime factors of 1802 are 2, 17,53. Prime factorization of 1802 in exponential form is:
1802 = 21×171×531
Prime Factorization of 1803
3 | 1803 |
601 | 601 |
1 |
Prime factors of 1803 are 3,601. Prime factorization of 1803 in exponential form is:
1803 = 31×6011
Now multiplying the highest exponent prime factors to calculate the LCM of 1802 and 1803.
LCM(1802,1803) = 21×31×171×531×6011
LCM(1802,1803) = 3249006
Factors of 1802
List of positive integer factors of 1802 that divides 1802 without a remainder.
1, 2, 17, 34, 53, 106, 901, 1802
Factors of 1803
List of positive integer factors of 1803 that divides 1803 without a remainder.
1, 3, 601, 1803
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1802 and 1803, than apply into the LCM equation.
GCF(1802,1803) = 1
LCM(1802,1803) = ( 1802 × 1803) / 1
LCM(1802,1803) = 3249006 / 1
LCM(1802,1803) = 3249006
(i) The LCM of 1803 and 1802 is associative
LCM of 1802 and 1803 = LCM of 1803 and 1802
1. What is the LCM of 1802 and 1803?
Answer: LCM of 1802 and 1803 is 3249006.
2. What are the Factors of 1802?
Answer: Factors of 1802 are 1, 2, 17, 34, 53, 106, 901, 1802. There are 8 integers that are factors of 1802. The greatest factor of 1802 is 1802.
3. What are the Factors of 1803?
Answer: Factors of 1803 are 1, 3, 601, 1803. There are 4 integers that are factors of 1803. The greatest factor of 1803 is 1803.
4. How to Find the LCM of 1802 and 1803?
Answer:
Least Common Multiple of 1802 and 1803 = 3249006
Step 1: Find the prime factorization of 1802
1802 = 2 x 17 x 53
Step 2: Find the prime factorization of 1803
1803 = 3 x 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3249006 = 2 x 3 x 17 x 53 x 601
Step 4: Therefore, the least common multiple of 1802 and 1803 is 3249006.