Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8206 and 8212 the smallest integer that is 33693836 that is divisible by both numbers.
Least Common Multiple (LCM) of 8206 and 8212 is 33693836.
LCM(8206,8212) = 33693836
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 8206 and 8212. First we will calculate the prime factors of 8206 and 8212.
Prime Factorization of 8206
2 | 8206 |
11 | 4103 |
373 | 373 |
1 |
Prime factors of 8206 are 2, 11,373. Prime factorization of 8206 in exponential form is:
8206 = 21×111×3731
Prime Factorization of 8212
2 | 8212 |
2 | 4106 |
2053 | 2053 |
1 |
Prime factors of 8212 are 2,2053. Prime factorization of 8212 in exponential form is:
8212 = 22×20531
Now multiplying the highest exponent prime factors to calculate the LCM of 8206 and 8212.
LCM(8206,8212) = 22×111×3731×20531
LCM(8206,8212) = 33693836
Factors of 8206
List of positive integer factors of 8206 that divides 8206 without a remainder.
1, 2, 11, 22, 373, 746, 4103, 8206
Factors of 8212
List of positive integer factors of 8212 that divides 8212 without a remainder.
1, 2, 4, 2053, 4106, 8212
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8206 and 8212, than apply into the LCM equation.
GCF(8206,8212) = 2
LCM(8206,8212) = ( 8206 × 8212) / 2
LCM(8206,8212) = 67387672 / 2
LCM(8206,8212) = 33693836
(i) The LCM of 8212 and 8206 is associative
LCM of 8206 and 8212 = LCM of 8212 and 8206
1. What is the LCM of 8206 and 8212?
Answer: LCM of 8206 and 8212 is 33693836.
2. What are the Factors of 8206?
Answer: Factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206. There are 8 integers that are factors of 8206. The greatest factor of 8206 is 8206.
3. What are the Factors of 8212?
Answer: Factors of 8212 are 1, 2, 4, 2053, 4106, 8212. There are 6 integers that are factors of 8212. The greatest factor of 8212 is 8212.
4. How to Find the LCM of 8206 and 8212?
Answer:
Least Common Multiple of 8206 and 8212 = 33693836
Step 1: Find the prime factorization of 8206
8206 = 2 x 11 x 373
Step 2: Find the prime factorization of 8212
8212 = 2 x 2 x 2053
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33693836 = 2 x 2 x 11 x 373 x 2053
Step 4: Therefore, the least common multiple of 8206 and 8212 is 33693836.