Least Common Multiple of 1923 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 1923 and 1927 the smallest integer that is 3705621 that is divisible by both numbers.
Least Common Multiple (LCM) of 1923 and 1927 is 3705621.
LCM(1923,1927) = 3705621
LCM of 1923 and 1927
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1923 and 1927 by Prime method
- Least Common Multiple of 1923 and 1927 with GCF Formula
LCM of 1923 and 1927 is 3705621
Least common multiple can be found by multiplying the highest exponent prime factors of 1923 and 1927. First we will calculate the prime factors of 1923 and 1927.
Prime Factorization of 1923
| 3 | 1923 |
| 641 | 641 |
| 1 |
Prime factors of 1923 are 3,641. Prime factorization of 1923 in exponential form is:
1923 = 31×6411
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 1923 and 1927.
LCM(1923,1927) = 31×411×471×6411
LCM(1923,1927) = 3705621
Factors of 1923
List of positive integer factors of 1923 that divides 1923 without a remainder.
1, 3, 641, 1923
Factors of 1927
List of positive integer factors of 1927 that divides 1927 without a remainder.
1, 41, 47, 1927
Least Common Multiple of 1923 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 1923 and 1927, than apply into the LCM equation.
GCF(1923,1927) = 1
LCM(1923,1927) = ( 1923 × 1927) / 1
LCM(1923,1927) = 3705621 / 1
LCM(1923,1927) = 3705621
Properties of LCM 1923 and 1927
(i) The LCM of 1927 and 1923 is associative
LCM of 1923 and 1927 = LCM of 1927 and 1923
Related Least Common Multiples of 1923
Related Least Common Multiples of 1927
Frequently Asked Questions on LCM of 1923 and 1927
1. What is the LCM of 1923 and 1927?
Answer: LCM of 1923 and 1927 is 3705621.
2. What are the Factors of 1923?
Answer: Factors of 1923 are 1, 3, 641, 1923. There are 4 integers that are factors of 1923. The greatest factor of 1923 is 1923.
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 1923 and 1927?
Answer:
Least Common Multiple of 1923 and 1927 = 3705621
Step 1: Find the prime factorization of 1923
1923 = 3 x 641
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 = 3705621 = 3 x 41 x 47 x 641
Step 4: Therefore, the least common multiple of 1923 and 1927 is 3705621.