Least Common Multiple of 1922 and 1929
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 1929 the smallest integer that is 3707538 that is divisible by both numbers.
Least Common Multiple (LCM) of 1922 and 1929 is 3707538.
LCM(1922,1929) = 3707538
LCM of 1922 and 1929
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1922 and 1929 by Prime method
- Least Common Multiple of 1922 and 1929 with GCF Formula
LCM of 1922 and 1929 is 3707538
Least common multiple can be found by multiplying the highest exponent prime factors of 1922 and 1929. First we will calculate the prime factors of 1922 and 1929.
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 1929
| 3 | 1929 |
| 643 | 643 |
| 1 |
Prime factors of 1929 are 3,643. Prime factorization of 1929 in exponential form is:
1929 = 31×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 1922 and 1929.
LCM(1922,1929) = 21×31×312×6431
LCM(1922,1929) = 3707538
Factors of 1922
List of positive integer factors of 1922 that divides 1922 without a remainder.
1, 2, 31, 62, 961, 1922
Factors of 1929
List of positive integer factors of 1929 that divides 1929 without a remainder.
1, 3, 643, 1929
Least Common Multiple of 1922 and 1929 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 1929, than apply into the LCM equation.
GCF(1922,1929) = 1
LCM(1922,1929) = ( 1922 × 1929) / 1
LCM(1922,1929) = 3707538 / 1
LCM(1922,1929) = 3707538
Properties of LCM 1922 and 1929
(i) The LCM of 1929 and 1922 is associative
LCM of 1922 and 1929 = LCM of 1929 and 1922
Related Least Common Multiples of 1922
Related Least Common Multiples of 1929
Frequently Asked Questions on LCM of 1922 and 1929
1. What is the LCM of 1922 and 1929?
Answer: LCM of 1922 and 1929 is 3707538.
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 1929?
Answer: Factors of 1929 are 1, 3, 643, 1929. There are 4 integers that are factors of 1929. The greatest factor of 1929 is 1929.
4. How to Find the LCM of 1922 and 1929?
Answer:
Least Common Multiple of 1922 and 1929 = 3707538
Step 1: Find the prime factorization of 1922
1922 = 2 x 31 x 31
Step 2: Find the prime factorization of 1929
1929 = 3 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3707538 = 2 x 3 x 31 x 31 x 643
Step 4: Therefore, the least common multiple of 1922 and 1929 is 3707538.
