Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 221837 and 221843 the smallest integer that is 49212985591 that is divisible by both numbers.
Least Common Multiple (LCM) of 221837 and 221843 is 49212985591.
LCM(221837,221843) = 49212985591
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 221837 and 221843. First we will calculate the prime factors of 221837 and 221843.
Prime Factorization of 221837
7 | 221837 |
11 | 31691 |
43 | 2881 |
67 | 67 |
1 |
Prime factors of 221837 are 7, 11, 43,67. Prime factorization of 221837 in exponential form is:
221837 = 71×111×431×671
Prime Factorization of 221843
163 | 221843 |
1361 | 1361 |
1 |
Prime factors of 221843 are 163,1361. Prime factorization of 221843 in exponential form is:
221843 = 1631×13611
Now multiplying the highest exponent prime factors to calculate the LCM of 221837 and 221843.
LCM(221837,221843) = 71×111×431×671×1631×13611
LCM(221837,221843) = 49212985591
Factors of 221837
List of positive integer factors of 221837 that divides 221837 without a remainder.
1, 7, 11, 43, 67, 77, 301, 469, 473, 737, 2881, 3311, 5159, 20167, 31691, 221837
Factors of 221843
List of positive integer factors of 221843 that divides 221843 without a remainder.
1, 163, 1361, 221843
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221837 and 221843, than apply into the LCM equation.
GCF(221837,221843) = 1
LCM(221837,221843) = ( 221837 × 221843) / 1
LCM(221837,221843) = 49212985591 / 1
LCM(221837,221843) = 49212985591
(i) The LCM of 221843 and 221837 is associative
LCM of 221837 and 221843 = LCM of 221843 and 221837
1. What is the LCM of 221837 and 221843?
Answer: LCM of 221837 and 221843 is 49212985591.
2. What are the Factors of 221837?
Answer: Factors of 221837 are 1, 7, 11, 43, 67, 77, 301, 469, 473, 737, 2881, 3311, 5159, 20167, 31691, 221837. There are 16 integers that are factors of 221837. The greatest factor of 221837 is 221837.
3. What are the Factors of 221843?
Answer: Factors of 221843 are 1, 163, 1361, 221843. There are 4 integers that are factors of 221843. The greatest factor of 221843 is 221843.
4. How to Find the LCM of 221837 and 221843?
Answer:
Least Common Multiple of 221837 and 221843 = 49212985591
Step 1: Find the prime factorization of 221837
221837 = 7 x 11 x 43 x 67
Step 2: Find the prime factorization of 221843
221843 = 163 x 1361
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49212985591 = 7 x 11 x 43 x 67 x 163 x 1361
Step 4: Therefore, the least common multiple of 221837 and 221843 is 49212985591.