Least Common Multiple of 221838 and 221841
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 221841 the smallest integer that is 16404254586 that is divisible by both numbers.
Least Common Multiple (LCM) of 221838 and 221841 is 16404254586.
LCM(221838,221841) = 16404254586
LCM of 221838 and 221841
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 221838 and 221841 by Prime method
- Least Common Multiple of 221838 and 221841 with GCF Formula
LCM of 221838 and 221841 is 16404254586
Least common multiple can be found by multiplying the highest exponent prime factors of 221838 and 221841. First we will calculate the prime factors of 221838 and 221841.
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 221841
| 3 | 221841 |
| 3 | 73947 |
| 157 | 24649 |
| 157 | 157 |
| 1 |
Prime factors of 221841 are 3,157. Prime factorization of 221841 in exponential form is:
221841 = 32×1572
Now multiplying the highest exponent prime factors to calculate the LCM of 221838 and 221841.
LCM(221838,221841) = 21×32×1572×369731
LCM(221838,221841) = 16404254586
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 221841
List of positive integer factors of 221841 that divides 221841 without a remainder.
1, 3, 9, 157, 471, 1413, 24649, 73947, 221841
Least Common Multiple of 221838 and 221841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 221838 and 221841, than apply into the LCM equation.
GCF(221838,221841) = 3
LCM(221838,221841) = ( 221838 × 221841) / 3
LCM(221838,221841) = 49212763758 / 3
LCM(221838,221841) = 16404254586
Properties of LCM 221838 and 221841
(i) The LCM of 221841 and 221838 is associative
LCM of 221838 and 221841 = LCM of 221841 and 221838
Related Least Common Multiples of 221838
Related Least Common Multiples of 221841
Frequently Asked Questions on LCM of 221838 and 221841
1. What is the LCM of 221838 and 221841?
Answer: LCM of 221838 and 221841 is 16404254586.
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 221841?
Answer: Factors of 221841 are 1, 3, 9, 157, 471, 1413, 24649, 73947, 221841. There are 9 integers that are factors of 221841. The greatest factor of 221841 is 221841.
4. How to Find the LCM of 221838 and 221841?
Answer:
Least Common Multiple of 221838 and 221841 = 16404254586
Step 1: Find the prime factorization of 221838
221838 = 2 x 3 x 36973
Step 2: Find the prime factorization of 221841
221841 = 3 x 3 x 157 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16404254586 = 2 x 3 x 3 x 157 x 157 x 36973
Step 4: Therefore, the least common multiple of 221838 and 221841 is 16404254586.
