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 221842 the smallest integer that is 49212763754 that is divisible by both numbers.
Least Common Multiple (LCM) of 221837 and 221842 is 49212763754.
LCM(221837,221842) = 49212763754
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 221842. First we will calculate the prime factors of 221837 and 221842.
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 221842
2 | 221842 |
110921 | 110921 |
1 |
Prime factors of 221842 are 2,110921. Prime factorization of 221842 in exponential form is:
221842 = 21×1109211
Now multiplying the highest exponent prime factors to calculate the LCM of 221837 and 221842.
LCM(221837,221842) = 21×71×111×431×671×1109211
LCM(221837,221842) = 49212763754
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 221842
List of positive integer factors of 221842 that divides 221842 without a remainder.
1, 2, 110921, 221842
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221837 and 221842, than apply into the LCM equation.
GCF(221837,221842) = 1
LCM(221837,221842) = ( 221837 × 221842) / 1
LCM(221837,221842) = 49212763754 / 1
LCM(221837,221842) = 49212763754
(i) The LCM of 221842 and 221837 is associative
LCM of 221837 and 221842 = LCM of 221842 and 221837
1. What is the LCM of 221837 and 221842?
Answer: LCM of 221837 and 221842 is 49212763754.
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 221842?
Answer: Factors of 221842 are 1, 2, 110921, 221842. There are 4 integers that are factors of 221842. The greatest factor of 221842 is 221842.
4. How to Find the LCM of 221837 and 221842?
Answer:
Least Common Multiple of 221837 and 221842 = 49212763754
Step 1: Find the prime factorization of 221837
221837 = 7 x 11 x 43 x 67
Step 2: Find the prime factorization of 221842
221842 = 2 x 110921
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49212763754 = 2 x 7 x 11 x 43 x 67 x 110921
Step 4: Therefore, the least common multiple of 221837 and 221842 is 49212763754.