Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3715 and 3720 the smallest integer that is 2763960 that is divisible by both numbers.
Least Common Multiple (LCM) of 3715 and 3720 is 2763960.
LCM(3715,3720) = 2763960
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 3715 and 3720. First we will calculate the prime factors of 3715 and 3720.
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
Prime Factorization of 3720
2 | 3720 |
2 | 1860 |
2 | 930 |
3 | 465 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 3720 are 2, 3, 5,31. Prime factorization of 3720 in exponential form is:
3720 = 23×31×51×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3715 and 3720.
LCM(3715,3720) = 23×31×51×311×7431
LCM(3715,3720) = 2763960
Factors of 3715
List of positive integer factors of 3715 that divides 3715 without a remainder.
1, 5, 743, 3715
Factors of 3720
List of positive integer factors of 3720 that divides 3720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3715 and 3720, than apply into the LCM equation.
GCF(3715,3720) = 5
LCM(3715,3720) = ( 3715 × 3720) / 5
LCM(3715,3720) = 13819800 / 5
LCM(3715,3720) = 2763960
(i) The LCM of 3720 and 3715 is associative
LCM of 3715 and 3720 = LCM of 3720 and 3715
1. What is the LCM of 3715 and 3720?
Answer: LCM of 3715 and 3720 is 2763960.
2. 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.
3. What are the Factors of 3720?
Answer: Factors of 3720 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860, 3720. There are 32 integers that are factors of 3720. The greatest factor of 3720 is 3720.
4. How to Find the LCM of 3715 and 3720?
Answer:
Least Common Multiple of 3715 and 3720 = 2763960
Step 1: Find the prime factorization of 3715
3715 = 5 x 743
Step 2: Find the prime factorization of 3720
3720 = 2 x 2 x 2 x 3 x 5 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2763960 = 2 x 2 x 2 x 3 x 5 x 31 x 743
Step 4: Therefore, the least common multiple of 3715 and 3720 is 2763960.