Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3708 and 3715 the smallest integer that is 13775220 that is divisible by both numbers.
Least Common Multiple (LCM) of 3708 and 3715 is 13775220.
LCM(3708,3715) = 13775220
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 3708 and 3715. First we will calculate the prime factors of 3708 and 3715.
Prime Factorization of 3708
2 | 3708 |
2 | 1854 |
3 | 927 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 3708 are 2, 3,103. Prime factorization of 3708 in exponential form is:
3708 = 22×32×1031
Prime Factorization of 3715
5 | 3715 |
743 | 743 |
1 |
Prime factors of 3715 are 5,743. Prime factorization of 3715 in exponential form is:
3715 = 51×7431
Now multiplying the highest exponent prime factors to calculate the LCM of 3708 and 3715.
LCM(3708,3715) = 22×32×51×1031×7431
LCM(3708,3715) = 13775220
Factors of 3708
List of positive integer factors of 3708 that divides 3708 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
Factors of 3715
List of positive integer factors of 3715 that divides 3715 without a remainder.
1, 5, 743, 3715
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3708 and 3715, than apply into the LCM equation.
GCF(3708,3715) = 1
LCM(3708,3715) = ( 3708 × 3715) / 1
LCM(3708,3715) = 13775220 / 1
LCM(3708,3715) = 13775220
(i) The LCM of 3715 and 3708 is associative
LCM of 3708 and 3715 = LCM of 3715 and 3708
1. What is the LCM of 3708 and 3715?
Answer: LCM of 3708 and 3715 is 13775220.
2. What are the Factors of 3708?
Answer: Factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708. There are 18 integers that are factors of 3708. The greatest factor of 3708 is 3708.
3. What are the Factors of 3715?
Answer: Factors of 3715 are 1, 5, 743, 3715. There are 4 integers that are factors of 3715. The greatest factor of 3715 is 3715.
4. How to Find the LCM of 3708 and 3715?
Answer:
Least Common Multiple of 3708 and 3715 = 13775220
Step 1: Find the prime factorization of 3708
3708 = 2 x 2 x 3 x 3 x 103
Step 2: Find the prime factorization of 3715
3715 = 5 x 743
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13775220 = 2 x 2 x 3 x 3 x 5 x 103 x 743
Step 4: Therefore, the least common multiple of 3708 and 3715 is 13775220.