Least Common Multiple of 1921 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 1921 and 1929 the smallest integer that is 3705609 that is divisible by both numbers.
Least Common Multiple (LCM) of 1921 and 1929 is 3705609.
LCM(1921,1929) = 3705609
LCM of 1921 and 1929
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1921 and 1929 by Prime method
- Least Common Multiple of 1921 and 1929 with GCF Formula
LCM of 1921 and 1929 is 3705609
Least common multiple can be found by multiplying the highest exponent prime factors of 1921 and 1929. First we will calculate the prime factors of 1921 and 1929.
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 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 1921 and 1929.
LCM(1921,1929) = 31×171×1131×6431
LCM(1921,1929) = 3705609
Factors of 1921
List of positive integer factors of 1921 that divides 1921 without a remainder.
1, 17, 113, 1921
Factors of 1929
List of positive integer factors of 1929 that divides 1929 without a remainder.
1, 3, 643, 1929
Least Common Multiple of 1921 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 1921 and 1929, than apply into the LCM equation.
GCF(1921,1929) = 1
LCM(1921,1929) = ( 1921 × 1929) / 1
LCM(1921,1929) = 3705609 / 1
LCM(1921,1929) = 3705609
Properties of LCM 1921 and 1929
(i) The LCM of 1929 and 1921 is associative
LCM of 1921 and 1929 = LCM of 1929 and 1921
Related Least Common Multiples of 1921
Related Least Common Multiples of 1929
Frequently Asked Questions on LCM of 1921 and 1929
1. What is the LCM of 1921 and 1929?
Answer: LCM of 1921 and 1929 is 3705609.
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 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 1921 and 1929?
Answer:
Least Common Multiple of 1921 and 1929 = 3705609
Step 1: Find the prime factorization of 1921
1921 = 17 x 113
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 = 3705609 = 3 x 17 x 113 x 643
Step 4: Therefore, the least common multiple of 1921 and 1929 is 3705609.
