Least Common Multiple of 1921 and 1922
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1921 and 1922 the smallest integer that is 3692162 that is divisible by both numbers.
Least Common Multiple (LCM) of 1921 and 1922 is 3692162.
LCM(1921,1922) = 3692162
LCM of 1921 and 1922
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1921 and 1922 by Prime method
- Least Common Multiple of 1921 and 1922 with GCF Formula
LCM of 1921 and 1922 is 3692162
Least common multiple can be found by multiplying the highest exponent prime factors of 1921 and 1922. First we will calculate the prime factors of 1921 and 1922.
Prime Factorization of 1921
| 17 | 1921 |
| 113 | 113 |
| 1 |
Prime factors of 1921 are 17,113. Prime factorization of 1921 in exponential form is:
1921 = 171×1131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1921 and 1922.
LCM(1921,1922) = 21×171×312×1131
LCM(1921,1922) = 3692162
Factors of 1921
List of positive integer factors of 1921 that divides 1921 without a remainder.
1, 17, 113, 1921
Factors of 1922
List of positive integer factors of 1922 that divides 1922 without a remainder.
1, 2, 31, 62, 961, 1922
Least Common Multiple of 1921 and 1922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1921 and 1922, than apply into the LCM equation.
GCF(1921,1922) = 1
LCM(1921,1922) = ( 1921 × 1922) / 1
LCM(1921,1922) = 3692162 / 1
LCM(1921,1922) = 3692162
Properties of LCM 1921 and 1922
(i) The LCM of 1922 and 1921 is associative
LCM of 1921 and 1922 = LCM of 1922 and 1921
Related Least Common Multiples of 1921
Related Least Common Multiples of 1922
Frequently Asked Questions on LCM of 1921 and 1922
1. What is the LCM of 1921 and 1922?
Answer: LCM of 1921 and 1922 is 3692162.
2. What are the Factors of 1921?
Answer: Factors of 1921 are 1, 17, 113, 1921. There are 4 integers that are factors of 1921. The greatest factor of 1921 is 1921.
3. 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.
4. How to Find the LCM of 1921 and 1922?
Answer:
Least Common Multiple of 1921 and 1922 = 3692162
Step 1: Find the prime factorization of 1921
1921 = 17 x 113
Step 2: Find the prime factorization of 1922
1922 = 2 x 31 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3692162 = 2 x 17 x 31 x 31 x 113
Step 4: Therefore, the least common multiple of 1921 and 1922 is 3692162.
