Least Common Multiple of 803 and 807
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 803 and 807 the smallest integer that is 648021 that is divisible by both numbers.
Least Common Multiple (LCM) of 803 and 807 is 648021.
LCM(803,807) = 648021
LCM of 803 and 807
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 803 and 807 by Prime method
- Least Common Multiple of 803 and 807 with GCF Formula
LCM of 803 and 807 is 648021
Least common multiple can be found by multiplying the highest exponent prime factors of 803 and 807. First we will calculate the prime factors of 803 and 807.
Prime Factorization of 803
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 803 are 11,73. Prime factorization of 803 in exponential form is:
803 = 111×731
Prime Factorization of 807
| 3 | 807 |
| 269 | 269 |
| 1 |
Prime factors of 807 are 3,269. Prime factorization of 807 in exponential form is:
807 = 31×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 803 and 807.
LCM(803,807) = 31×111×731×2691
LCM(803,807) = 648021
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Least Common Multiple of 803 and 807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 803 and 807, than apply into the LCM equation.
GCF(803,807) = 1
LCM(803,807) = ( 803 × 807) / 1
LCM(803,807) = 648021 / 1
LCM(803,807) = 648021
Properties of LCM 803 and 807
(i) The LCM of 807 and 803 is associative
LCM of 803 and 807 = LCM of 807 and 803
Related Least Common Multiples of 803
Related Least Common Multiples of 807
Frequently Asked Questions on LCM of 803 and 807
1. What is the LCM of 803 and 807?
Answer: LCM of 803 and 807 is 648021.
2. What are the Factors of 803?
Answer: Factors of 803 are 1, 11, 73, 803. There are 4 integers that are factors of 803. The greatest factor of 803 is 803.
3. What are the Factors of 807?
Answer: Factors of 807 are 1, 3, 269, 807. There are 4 integers that are factors of 807. The greatest factor of 807 is 807.
4. How to Find the LCM of 803 and 807?
Answer:
Least Common Multiple of 803 and 807 = 648021
Step 1: Find the prime factorization of 803
803 = 11 x 73
Step 2: Find the prime factorization of 807
807 = 3 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 648021 = 3 x 11 x 73 x 269
Step 4: Therefore, the least common multiple of 803 and 807 is 648021.
