Least Common Multiple of 1922 and 1927
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1922 and 1927 the smallest integer that is 3703694 that is divisible by both numbers.
Least Common Multiple (LCM) of 1922 and 1927 is 3703694.
LCM(1922,1927) = 3703694
LCM of 1922 and 1927
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1922 and 1927 by Prime method
- Least Common Multiple of 1922 and 1927 with GCF Formula
LCM of 1922 and 1927 is 3703694
Least common multiple can be found by multiplying the highest exponent prime factors of 1922 and 1927. First we will calculate the prime factors of 1922 and 1927.
Prime Factorization of 1922
| 2 | 1922 |
| 31 | 961 |
| 31 | 31 |
| 1 |
Prime factors of 1922 are 2,31. Prime factorization of 1922 in exponential form is:
1922 = 21×312
Prime Factorization of 1927
| 41 | 1927 |
| 47 | 47 |
| 1 |
Prime factors of 1927 are 41,47. Prime factorization of 1927 in exponential form is:
1927 = 411×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1922 and 1927.
LCM(1922,1927) = 21×312×411×471
LCM(1922,1927) = 3703694
Factors of 1922
List of positive integer factors of 1922 that divides 1922 without a remainder.
1, 2, 31, 62, 961, 1922
Factors of 1927
List of positive integer factors of 1927 that divides 1927 without a remainder.
1, 41, 47, 1927
Least Common Multiple of 1922 and 1927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1922 and 1927, than apply into the LCM equation.
GCF(1922,1927) = 1
LCM(1922,1927) = ( 1922 × 1927) / 1
LCM(1922,1927) = 3703694 / 1
LCM(1922,1927) = 3703694
Properties of LCM 1922 and 1927
(i) The LCM of 1927 and 1922 is associative
LCM of 1922 and 1927 = LCM of 1927 and 1922
Related Least Common Multiples of 1922
Related Least Common Multiples of 1927
Frequently Asked Questions on LCM of 1922 and 1927
1. What is the LCM of 1922 and 1927?
Answer: LCM of 1922 and 1927 is 3703694.
2. What are the Factors of 1922?
Answer: Factors of 1922 are 1, 2, 31, 62, 961, 1922. There are 6 integers that are factors of 1922. The greatest factor of 1922 is 1922.
3. What are the Factors of 1927?
Answer: Factors of 1927 are 1, 41, 47, 1927. There are 4 integers that are factors of 1927. The greatest factor of 1927 is 1927.
4. How to Find the LCM of 1922 and 1927?
Answer:
Least Common Multiple of 1922 and 1927 = 3703694
Step 1: Find the prime factorization of 1922
1922 = 2 x 31 x 31
Step 2: Find the prime factorization of 1927
1927 = 41 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3703694 = 2 x 31 x 31 x 41 x 47
Step 4: Therefore, the least common multiple of 1922 and 1927 is 3703694.