Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3889 and 3890 the smallest integer that is 15128210 that is divisible by both numbers.
Least Common Multiple (LCM) of 3889 and 3890 is 15128210.
LCM(3889,3890) = 15128210
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 3889 and 3890. First we will calculate the prime factors of 3889 and 3890.
Prime Factorization of 3889
3889 | 3889 |
1 |
Prime factors of 3889 are 3889. Prime factorization of 3889 in exponential form is:
3889 = 38891
Prime Factorization of 3890
2 | 3890 |
5 | 1945 |
389 | 389 |
1 |
Prime factors of 3890 are 2, 5,389. Prime factorization of 3890 in exponential form is:
3890 = 21×51×3891
Now multiplying the highest exponent prime factors to calculate the LCM of 3889 and 3890.
LCM(3889,3890) = 21×51×3891×38891
LCM(3889,3890) = 15128210
Factors of 3889
List of positive integer factors of 3889 that divides 3889 without a remainder.
1, 3889
Factors of 3890
List of positive integer factors of 3890 that divides 3890 without a remainder.
1, 2, 5, 10, 389, 778, 1945, 3890
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3889 and 3890, than apply into the LCM equation.
GCF(3889,3890) = 1
LCM(3889,3890) = ( 3889 × 3890) / 1
LCM(3889,3890) = 15128210 / 1
LCM(3889,3890) = 15128210
(i) The LCM of 3890 and 3889 is associative
LCM of 3889 and 3890 = LCM of 3890 and 3889
1. What is the LCM of 3889 and 3890?
Answer: LCM of 3889 and 3890 is 15128210.
2. What are the Factors of 3889?
Answer: Factors of 3889 are 1, 3889. There are 2 integers that are factors of 3889. The greatest factor of 3889 is 3889.
3. What are the Factors of 3890?
Answer: Factors of 3890 are 1, 2, 5, 10, 389, 778, 1945, 3890. There are 8 integers that are factors of 3890. The greatest factor of 3890 is 3890.
4. How to Find the LCM of 3889 and 3890?
Answer:
Least Common Multiple of 3889 and 3890 = 15128210
Step 1: Find the prime factorization of 3889
3889 = 3889
Step 2: Find the prime factorization of 3890
3890 = 2 x 5 x 389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15128210 = 2 x 5 x 389 x 3889
Step 4: Therefore, the least common multiple of 3889 and 3890 is 15128210.