Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 221835 and 221842 the smallest integer that is 49212320070 that is divisible by both numbers.
Least Common Multiple (LCM) of 221835 and 221842 is 49212320070.
LCM(221835,221842) = 49212320070
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 221835 and 221842. First we will calculate the prime factors of 221835 and 221842.
Prime Factorization of 221835
3 | 221835 |
5 | 73945 |
23 | 14789 |
643 | 643 |
1 |
Prime factors of 221835 are 3, 5, 23,643. Prime factorization of 221835 in exponential form is:
221835 = 31×51×231×6431
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 221835 and 221842.
LCM(221835,221842) = 21×31×51×231×6431×1109211
LCM(221835,221842) = 49212320070
Factors of 221835
List of positive integer factors of 221835 that divides 221835 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345, 643, 1929, 3215, 9645, 14789, 44367, 73945, 221835
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 221835 and 221842, than apply into the LCM equation.
GCF(221835,221842) = 1
LCM(221835,221842) = ( 221835 × 221842) / 1
LCM(221835,221842) = 49212320070 / 1
LCM(221835,221842) = 49212320070
(i) The LCM of 221842 and 221835 is associative
LCM of 221835 and 221842 = LCM of 221842 and 221835
1. What is the LCM of 221835 and 221842?
Answer: LCM of 221835 and 221842 is 49212320070.
2. What are the Factors of 221835?
Answer: Factors of 221835 are 1, 3, 5, 15, 23, 69, 115, 345, 643, 1929, 3215, 9645, 14789, 44367, 73945, 221835. There are 16 integers that are factors of 221835. The greatest factor of 221835 is 221835.
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 221835 and 221842?
Answer:
Least Common Multiple of 221835 and 221842 = 49212320070
Step 1: Find the prime factorization of 221835
221835 = 3 x 5 x 23 x 643
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 = 49212320070 = 2 x 3 x 5 x 23 x 643 x 110921
Step 4: Therefore, the least common multiple of 221835 and 221842 is 49212320070.