Least Common Multiple of 3907 and 3914
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3907 and 3914 the smallest integer that is 15291998 that is divisible by both numbers.
Least Common Multiple (LCM) of 3907 and 3914 is 15291998.
LCM(3907,3914) = 15291998
LCM of 3907 and 3914
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3907 and 3914 by Prime method
- Least Common Multiple of 3907 and 3914 with GCF Formula
LCM of 3907 and 3914 is 15291998
Least common multiple can be found by multiplying the highest exponent prime factors of 3907 and 3914. First we will calculate the prime factors of 3907 and 3914.
Prime Factorization of 3907
| 3907 | 3907 |
| 1 |
Prime factors of 3907 are 3907. Prime factorization of 3907 in exponential form is:
3907 = 39071
Prime Factorization of 3914
| 2 | 3914 |
| 19 | 1957 |
| 103 | 103 |
| 1 |
Prime factors of 3914 are 2, 19,103. Prime factorization of 3914 in exponential form is:
3914 = 21×191×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 3907 and 3914.
LCM(3907,3914) = 21×191×1031×39071
LCM(3907,3914) = 15291998
Factors of 3907
List of positive integer factors of 3907 that divides 3907 without a remainder.
1, 3907
Factors of 3914
List of positive integer factors of 3914 that divides 3914 without a remainder.
1, 2, 19, 38, 103, 206, 1957, 3914
Least Common Multiple of 3907 and 3914 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3907 and 3914, than apply into the LCM equation.
GCF(3907,3914) = 1
LCM(3907,3914) = ( 3907 × 3914) / 1
LCM(3907,3914) = 15291998 / 1
LCM(3907,3914) = 15291998
Properties of LCM 3907 and 3914
(i) The LCM of 3914 and 3907 is associative
LCM of 3907 and 3914 = LCM of 3914 and 3907
Related Least Common Multiples of 3907
Related Least Common Multiples of 3914
Frequently Asked Questions on LCM of 3907 and 3914
1. What is the LCM of 3907 and 3914?
Answer: LCM of 3907 and 3914 is 15291998.
2. What are the Factors of 3907?
Answer: Factors of 3907 are 1, 3907. There are 2 integers that are factors of 3907. The greatest factor of 3907 is 3907.
3. What are the Factors of 3914?
Answer: Factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914. There are 8 integers that are factors of 3914. The greatest factor of 3914 is 3914.
4. How to Find the LCM of 3907 and 3914?
Answer:
Least Common Multiple of 3907 and 3914 = 15291998
Step 1: Find the prime factorization of 3907
3907 = 3907
Step 2: Find the prime factorization of 3914
3914 = 2 x 19 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15291998 = 2 x 19 x 103 x 3907
Step 4: Therefore, the least common multiple of 3907 and 3914 is 15291998.