Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 221838 and 221839 the smallest integer that is 49212320082 that is divisible by both numbers.
Least Common Multiple (LCM) of 221838 and 221839 is 49212320082.
LCM(221838,221839) = 49212320082
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 221838 and 221839. First we will calculate the prime factors of 221838 and 221839.
Prime Factorization of 221838
2 | 221838 |
3 | 110919 |
36973 | 36973 |
1 |
Prime factors of 221838 are 2, 3,36973. Prime factorization of 221838 in exponential form is:
221838 = 21×31×369731
Prime Factorization of 221839
97 | 221839 |
2287 | 2287 |
1 |
Prime factors of 221839 are 97,2287. Prime factorization of 221839 in exponential form is:
221839 = 971×22871
Now multiplying the highest exponent prime factors to calculate the LCM of 221838 and 221839.
LCM(221838,221839) = 21×31×971×22871×369731
LCM(221838,221839) = 49212320082
Factors of 221838
List of positive integer factors of 221838 that divides 221838 without a remainder.
1, 2, 3, 6, 36973, 73946, 110919, 221838
Factors of 221839
List of positive integer factors of 221839 that divides 221839 without a remainder.
1, 97, 2287, 221839
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221838 and 221839, than apply into the LCM equation.
GCF(221838,221839) = 1
LCM(221838,221839) = ( 221838 × 221839) / 1
LCM(221838,221839) = 49212320082 / 1
LCM(221838,221839) = 49212320082
(i) The LCM of 221839 and 221838 is associative
LCM of 221838 and 221839 = LCM of 221839 and 221838
1. What is the LCM of 221838 and 221839?
Answer: LCM of 221838 and 221839 is 49212320082.
2. What are the Factors of 221838?
Answer: Factors of 221838 are 1, 2, 3, 6, 36973, 73946, 110919, 221838. There are 8 integers that are factors of 221838. The greatest factor of 221838 is 221838.
3. What are the Factors of 221839?
Answer: Factors of 221839 are 1, 97, 2287, 221839. There are 4 integers that are factors of 221839. The greatest factor of 221839 is 221839.
4. How to Find the LCM of 221838 and 221839?
Answer:
Least Common Multiple of 221838 and 221839 = 49212320082
Step 1: Find the prime factorization of 221838
221838 = 2 x 3 x 36973
Step 2: Find the prime factorization of 221839
221839 = 97 x 2287
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49212320082 = 2 x 3 x 97 x 2287 x 36973
Step 4: Therefore, the least common multiple of 221838 and 221839 is 49212320082.