Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3925 and 3930 the smallest integer that is 3085050 that is divisible by both numbers.
Least Common Multiple (LCM) of 3925 and 3930 is 3085050.
LCM(3925,3930) = 3085050
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 3925 and 3930. First we will calculate the prime factors of 3925 and 3930.
Prime Factorization of 3925
5 | 3925 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 3925 are 5,157. Prime factorization of 3925 in exponential form is:
3925 = 52×1571
Prime Factorization of 3930
2 | 3930 |
3 | 1965 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 3930 are 2, 3, 5,131. Prime factorization of 3930 in exponential form is:
3930 = 21×31×51×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 3925 and 3930.
LCM(3925,3930) = 21×31×52×1311×1571
LCM(3925,3930) = 3085050
Factors of 3925
List of positive integer factors of 3925 that divides 3925 without a remainder.
1, 5, 25, 157, 785, 3925
Factors of 3930
List of positive integer factors of 3930 that divides 3930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3925 and 3930, than apply into the LCM equation.
GCF(3925,3930) = 5
LCM(3925,3930) = ( 3925 × 3930) / 5
LCM(3925,3930) = 15425250 / 5
LCM(3925,3930) = 3085050
(i) The LCM of 3930 and 3925 is associative
LCM of 3925 and 3930 = LCM of 3930 and 3925
1. What is the LCM of 3925 and 3930?
Answer: LCM of 3925 and 3930 is 3085050.
2. What are the Factors of 3925?
Answer: Factors of 3925 are 1, 5, 25, 157, 785, 3925. There are 6 integers that are factors of 3925. The greatest factor of 3925 is 3925.
3. What are the Factors of 3930?
Answer: Factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930. There are 16 integers that are factors of 3930. The greatest factor of 3930 is 3930.
4. How to Find the LCM of 3925 and 3930?
Answer:
Least Common Multiple of 3925 and 3930 = 3085050
Step 1: Find the prime factorization of 3925
3925 = 5 x 5 x 157
Step 2: Find the prime factorization of 3930
3930 = 2 x 3 x 5 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3085050 = 2 x 3 x 5 x 5 x 131 x 157
Step 4: Therefore, the least common multiple of 3925 and 3930 is 3085050.