Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3940 and 3948 the smallest integer that is 3888780 that is divisible by both numbers.
Least Common Multiple (LCM) of 3940 and 3948 is 3888780.
LCM(3940,3948) = 3888780
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 3940 and 3948. First we will calculate the prime factors of 3940 and 3948.
Prime Factorization of 3940
2 | 3940 |
2 | 1970 |
5 | 985 |
197 | 197 |
1 |
Prime factors of 3940 are 2, 5,197. Prime factorization of 3940 in exponential form is:
3940 = 22×51×1971
Prime Factorization of 3948
2 | 3948 |
2 | 1974 |
3 | 987 |
7 | 329 |
47 | 47 |
1 |
Prime factors of 3948 are 2, 3, 7,47. Prime factorization of 3948 in exponential form is:
3948 = 22×31×71×471
Now multiplying the highest exponent prime factors to calculate the LCM of 3940 and 3948.
LCM(3940,3948) = 22×31×51×71×471×1971
LCM(3940,3948) = 3888780
Factors of 3940
List of positive integer factors of 3940 that divides 3940 without a remainder.
1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940
Factors of 3948
List of positive integer factors of 3948 that divides 3948 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3940 and 3948, than apply into the LCM equation.
GCF(3940,3948) = 4
LCM(3940,3948) = ( 3940 × 3948) / 4
LCM(3940,3948) = 15555120 / 4
LCM(3940,3948) = 3888780
(i) The LCM of 3948 and 3940 is associative
LCM of 3940 and 3948 = LCM of 3948 and 3940
1. What is the LCM of 3940 and 3948?
Answer: LCM of 3940 and 3948 is 3888780.
2. What are the Factors of 3940?
Answer: Factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940. There are 12 integers that are factors of 3940. The greatest factor of 3940 is 3940.
3. What are the Factors of 3948?
Answer: Factors of 3948 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974, 3948. There are 24 integers that are factors of 3948. The greatest factor of 3948 is 3948.
4. How to Find the LCM of 3940 and 3948?
Answer:
Least Common Multiple of 3940 and 3948 = 3888780
Step 1: Find the prime factorization of 3940
3940 = 2 x 2 x 5 x 197
Step 2: Find the prime factorization of 3948
3948 = 2 x 2 x 3 x 7 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3888780 = 2 x 2 x 3 x 5 x 7 x 47 x 197
Step 4: Therefore, the least common multiple of 3940 and 3948 is 3888780.