Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3737 and 3740 the smallest integer that is 13976380 that is divisible by both numbers.
Least Common Multiple (LCM) of 3737 and 3740 is 13976380.
LCM(3737,3740) = 13976380
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 3737 and 3740. First we will calculate the prime factors of 3737 and 3740.
Prime Factorization of 3737
37 | 3737 |
101 | 101 |
1 |
Prime factors of 3737 are 37,101. Prime factorization of 3737 in exponential form is:
3737 = 371×1011
Prime Factorization of 3740
2 | 3740 |
2 | 1870 |
5 | 935 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 3740 are 2, 5, 11,17. Prime factorization of 3740 in exponential form is:
3740 = 22×51×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 3737 and 3740.
LCM(3737,3740) = 22×51×111×171×371×1011
LCM(3737,3740) = 13976380
Factors of 3737
List of positive integer factors of 3737 that divides 3737 without a remainder.
1, 37, 101, 3737
Factors of 3740
List of positive integer factors of 3740 that divides 3740 without a remainder.
1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3737 and 3740, than apply into the LCM equation.
GCF(3737,3740) = 1
LCM(3737,3740) = ( 3737 × 3740) / 1
LCM(3737,3740) = 13976380 / 1
LCM(3737,3740) = 13976380
(i) The LCM of 3740 and 3737 is associative
LCM of 3737 and 3740 = LCM of 3740 and 3737
1. What is the LCM of 3737 and 3740?
Answer: LCM of 3737 and 3740 is 13976380.
2. What are the Factors of 3737?
Answer: Factors of 3737 are 1, 37, 101, 3737. There are 4 integers that are factors of 3737. The greatest factor of 3737 is 3737.
3. What are the Factors of 3740?
Answer: Factors of 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740. There are 24 integers that are factors of 3740. The greatest factor of 3740 is 3740.
4. How to Find the LCM of 3737 and 3740?
Answer:
Least Common Multiple of 3737 and 3740 = 13976380
Step 1: Find the prime factorization of 3737
3737 = 37 x 101
Step 2: Find the prime factorization of 3740
3740 = 2 x 2 x 5 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13976380 = 2 x 2 x 5 x 11 x 17 x 37 x 101
Step 4: Therefore, the least common multiple of 3737 and 3740 is 13976380.