Least Common Multiple of 1802 and 1807
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 1807 the smallest integer that is 3256214 that is divisible by both numbers.
Least Common Multiple (LCM) of 1802 and 1807 is 3256214.
LCM(1802,1807) = 3256214
LCM of 1802 and 1807
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1802 and 1807 by Prime method
- Least Common Multiple of 1802 and 1807 with GCF Formula
LCM of 1802 and 1807 is 3256214
Least common multiple can be found by multiplying the highest exponent prime factors of 1802 and 1807. First we will calculate the prime factors of 1802 and 1807.
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 1807
| 13 | 1807 |
| 139 | 139 |
| 1 |
Prime factors of 1807 are 13,139. Prime factorization of 1807 in exponential form is:
1807 = 131×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 1802 and 1807.
LCM(1802,1807) = 21×131×171×531×1391
LCM(1802,1807) = 3256214
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 1807
List of positive integer factors of 1807 that divides 1807 without a remainder.
1, 13, 139, 1807
Least Common Multiple of 1802 and 1807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1802 and 1807, than apply into the LCM equation.
GCF(1802,1807) = 1
LCM(1802,1807) = ( 1802 × 1807) / 1
LCM(1802,1807) = 3256214 / 1
LCM(1802,1807) = 3256214
Properties of LCM 1802 and 1807
(i) The LCM of 1807 and 1802 is associative
LCM of 1802 and 1807 = LCM of 1807 and 1802
Related Least Common Multiples of 1802
Related Least Common Multiples of 1807
Frequently Asked Questions on LCM of 1802 and 1807
1. What is the LCM of 1802 and 1807?
Answer: LCM of 1802 and 1807 is 3256214.
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 1807?
Answer: Factors of 1807 are 1, 13, 139, 1807. There are 4 integers that are factors of 1807. The greatest factor of 1807 is 1807.
4. How to Find the LCM of 1802 and 1807?
Answer:
Least Common Multiple of 1802 and 1807 = 3256214
Step 1: Find the prime factorization of 1802
1802 = 2 x 17 x 53
Step 2: Find the prime factorization of 1807
1807 = 13 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3256214 = 2 x 13 x 17 x 53 x 139
Step 4: Therefore, the least common multiple of 1802 and 1807 is 3256214.
