Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3926 and 3934 the smallest integer that is 7722442 that is divisible by both numbers.
Least Common Multiple (LCM) of 3926 and 3934 is 7722442.
LCM(3926,3934) = 7722442
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 3926 and 3934. First we will calculate the prime factors of 3926 and 3934.
Prime Factorization of 3926
2 | 3926 |
13 | 1963 |
151 | 151 |
1 |
Prime factors of 3926 are 2, 13,151. Prime factorization of 3926 in exponential form is:
3926 = 21×131×1511
Prime Factorization of 3934
2 | 3934 |
7 | 1967 |
281 | 281 |
1 |
Prime factors of 3934 are 2, 7,281. Prime factorization of 3934 in exponential form is:
3934 = 21×71×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 3926 and 3934.
LCM(3926,3934) = 21×71×131×1511×2811
LCM(3926,3934) = 7722442
Factors of 3926
List of positive integer factors of 3926 that divides 3926 without a remainder.
1, 2, 13, 26, 151, 302, 1963, 3926
Factors of 3934
List of positive integer factors of 3934 that divides 3934 without a remainder.
1, 2, 7, 14, 281, 562, 1967, 3934
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3926 and 3934, than apply into the LCM equation.
GCF(3926,3934) = 2
LCM(3926,3934) = ( 3926 × 3934) / 2
LCM(3926,3934) = 15444884 / 2
LCM(3926,3934) = 7722442
(i) The LCM of 3934 and 3926 is associative
LCM of 3926 and 3934 = LCM of 3934 and 3926
1. What is the LCM of 3926 and 3934?
Answer: LCM of 3926 and 3934 is 7722442.
2. What are the Factors of 3926?
Answer: Factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926. There are 8 integers that are factors of 3926. The greatest factor of 3926 is 3926.
3. What are the Factors of 3934?
Answer: Factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934. There are 8 integers that are factors of 3934. The greatest factor of 3934 is 3934.
4. How to Find the LCM of 3926 and 3934?
Answer:
Least Common Multiple of 3926 and 3934 = 7722442
Step 1: Find the prime factorization of 3926
3926 = 2 x 13 x 151
Step 2: Find the prime factorization of 3934
3934 = 2 x 7 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7722442 = 2 x 7 x 13 x 151 x 281
Step 4: Therefore, the least common multiple of 3926 and 3934 is 7722442.