Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1929 and 1931 the smallest integer that is 3724899 that is divisible by both numbers.
Least Common Multiple (LCM) of 1929 and 1931 is 3724899.
LCM(1929,1931) = 3724899
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1929 and 1931. First we will calculate the prime factors of 1929 and 1931.
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
Prime Factorization of 1931
1931 | 1931 |
1 |
Prime factors of 1931 are 1931. Prime factorization of 1931 in exponential form is:
1931 = 19311
Now multiplying the highest exponent prime factors to calculate the LCM of 1929 and 1931.
LCM(1929,1931) = 31×6431×19311
LCM(1929,1931) = 3724899
Factors of 1929
List of positive integer factors of 1929 that divides 1929 without a remainder.
1, 3, 643, 1929
Factors of 1931
List of positive integer factors of 1931 that divides 1931 without a remainder.
1, 1931
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1929 and 1931, than apply into the LCM equation.
GCF(1929,1931) = 1
LCM(1929,1931) = ( 1929 × 1931) / 1
LCM(1929,1931) = 3724899 / 1
LCM(1929,1931) = 3724899
(i) The LCM of 1931 and 1929 is associative
LCM of 1929 and 1931 = LCM of 1931 and 1929
1. What is the LCM of 1929 and 1931?
Answer: LCM of 1929 and 1931 is 3724899.
2. 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.
3. What are the Factors of 1931?
Answer: Factors of 1931 are 1, 1931. There are 2 integers that are factors of 1931. The greatest factor of 1931 is 1931.
4. How to Find the LCM of 1929 and 1931?
Answer:
Least Common Multiple of 1929 and 1931 = 3724899
Step 1: Find the prime factorization of 1929
1929 = 3 x 643
Step 2: Find the prime factorization of 1931
1931 = 1931
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3724899 = 3 x 643 x 1931
Step 4: Therefore, the least common multiple of 1929 and 1931 is 3724899.