Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1803 and 1804 the smallest integer that is 3252612 that is divisible by both numbers.
Least Common Multiple (LCM) of 1803 and 1804 is 3252612.
LCM(1803,1804) = 3252612
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 1803 and 1804. First we will calculate the prime factors of 1803 and 1804.
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
Prime Factorization of 1804
2 | 1804 |
2 | 902 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 1804 are 2, 11,41. Prime factorization of 1804 in exponential form is:
1804 = 22×111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 1803 and 1804.
LCM(1803,1804) = 22×31×111×411×6011
LCM(1803,1804) = 3252612
Factors of 1803
List of positive integer factors of 1803 that divides 1803 without a remainder.
1, 3, 601, 1803
Factors of 1804
List of positive integer factors of 1804 that divides 1804 without a remainder.
1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1803 and 1804, than apply into the LCM equation.
GCF(1803,1804) = 1
LCM(1803,1804) = ( 1803 × 1804) / 1
LCM(1803,1804) = 3252612 / 1
LCM(1803,1804) = 3252612
(i) The LCM of 1804 and 1803 is associative
LCM of 1803 and 1804 = LCM of 1804 and 1803
1. What is the LCM of 1803 and 1804?
Answer: LCM of 1803 and 1804 is 3252612.
2. 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.
3. What are the Factors of 1804?
Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.
4. How to Find the LCM of 1803 and 1804?
Answer:
Least Common Multiple of 1803 and 1804 = 3252612
Step 1: Find the prime factorization of 1803
1803 = 3 x 601
Step 2: Find the prime factorization of 1804
1804 = 2 x 2 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3252612 = 2 x 2 x 3 x 11 x 41 x 601
Step 4: Therefore, the least common multiple of 1803 and 1804 is 3252612.