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 3932 the smallest integer that is 7718516 that is divisible by both numbers.
Least Common Multiple (LCM) of 3926 and 3932 is 7718516.
LCM(3926,3932) = 7718516
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 3932. First we will calculate the prime factors of 3926 and 3932.
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 3932
2 | 3932 |
2 | 1966 |
983 | 983 |
1 |
Prime factors of 3932 are 2,983. Prime factorization of 3932 in exponential form is:
3932 = 22×9831
Now multiplying the highest exponent prime factors to calculate the LCM of 3926 and 3932.
LCM(3926,3932) = 22×131×1511×9831
LCM(3926,3932) = 7718516
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 3932
List of positive integer factors of 3932 that divides 3932 without a remainder.
1, 2, 4, 983, 1966, 3932
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3926 and 3932, than apply into the LCM equation.
GCF(3926,3932) = 2
LCM(3926,3932) = ( 3926 × 3932) / 2
LCM(3926,3932) = 15437032 / 2
LCM(3926,3932) = 7718516
(i) The LCM of 3932 and 3926 is associative
LCM of 3926 and 3932 = LCM of 3932 and 3926
1. What is the LCM of 3926 and 3932?
Answer: LCM of 3926 and 3932 is 7718516.
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 3932?
Answer: Factors of 3932 are 1, 2, 4, 983, 1966, 3932. There are 6 integers that are factors of 3932. The greatest factor of 3932 is 3932.
4. How to Find the LCM of 3926 and 3932?
Answer:
Least Common Multiple of 3926 and 3932 = 7718516
Step 1: Find the prime factorization of 3926
3926 = 2 x 13 x 151
Step 2: Find the prime factorization of 3932
3932 = 2 x 2 x 983
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7718516 = 2 x 2 x 13 x 151 x 983
Step 4: Therefore, the least common multiple of 3926 and 3932 is 7718516.