Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 818 and 821 the smallest integer that is 671578 that is divisible by both numbers.
Least Common Multiple (LCM) of 818 and 821 is 671578.
LCM(818,821) = 671578
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 818 and 821. First we will calculate the prime factors of 818 and 821.
Prime Factorization of 818
2 | 818 |
409 | 409 |
1 |
Prime factors of 818 are 2,409. Prime factorization of 818 in exponential form is:
818 = 21×4091
Prime Factorization of 821
821 | 821 |
1 |
Prime factors of 821 are 821. Prime factorization of 821 in exponential form is:
821 = 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 818 and 821.
LCM(818,821) = 21×4091×8211
LCM(818,821) = 671578
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1, 821
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 818 and 821, than apply into the LCM equation.
GCF(818,821) = 1
LCM(818,821) = ( 818 × 821) / 1
LCM(818,821) = 671578 / 1
LCM(818,821) = 671578
(i) The LCM of 821 and 818 is associative
LCM of 818 and 821 = LCM of 821 and 818
1. What is the LCM of 818 and 821?
Answer: LCM of 818 and 821 is 671578.
2. What are the Factors of 818?
Answer: Factors of 818 are 1, 2, 409, 818. There are 4 integers that are factors of 818. The greatest factor of 818 is 818.
3. What are the Factors of 821?
Answer: Factors of 821 are 1, 821. There are 2 integers that are factors of 821. The greatest factor of 821 is 821.
4. How to Find the LCM of 818 and 821?
Answer:
Least Common Multiple of 818 and 821 = 671578
Step 1: Find the prime factorization of 818
818 = 2 x 409
Step 2: Find the prime factorization of 821
821 = 821
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 671578 = 2 x 409 x 821
Step 4: Therefore, the least common multiple of 818 and 821 is 671578.