Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3717 and 3725 the smallest integer that is 13845825 that is divisible by both numbers.
Least Common Multiple (LCM) of 3717 and 3725 is 13845825.
LCM(3717,3725) = 13845825
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 3717 and 3725. First we will calculate the prime factors of 3717 and 3725.
Prime Factorization of 3717
3 | 3717 |
3 | 1239 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 3717 are 3, 7,59. Prime factorization of 3717 in exponential form is:
3717 = 32×71×591
Prime Factorization of 3725
5 | 3725 |
5 | 745 |
149 | 149 |
1 |
Prime factors of 3725 are 5,149. Prime factorization of 3725 in exponential form is:
3725 = 52×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 3717 and 3725.
LCM(3717,3725) = 32×52×71×591×1491
LCM(3717,3725) = 13845825
Factors of 3717
List of positive integer factors of 3717 that divides 3717 without a remainder.
1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717
Factors of 3725
List of positive integer factors of 3725 that divides 3725 without a remainder.
1, 5, 25, 149, 745, 3725
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3717 and 3725, than apply into the LCM equation.
GCF(3717,3725) = 1
LCM(3717,3725) = ( 3717 × 3725) / 1
LCM(3717,3725) = 13845825 / 1
LCM(3717,3725) = 13845825
(i) The LCM of 3725 and 3717 is associative
LCM of 3717 and 3725 = LCM of 3725 and 3717
1. What is the LCM of 3717 and 3725?
Answer: LCM of 3717 and 3725 is 13845825.
2. What are the Factors of 3717?
Answer: Factors of 3717 are 1, 3, 7, 9, 21, 59, 63, 177, 413, 531, 1239, 3717. There are 12 integers that are factors of 3717. The greatest factor of 3717 is 3717.
3. What are the Factors of 3725?
Answer: Factors of 3725 are 1, 5, 25, 149, 745, 3725. There are 6 integers that are factors of 3725. The greatest factor of 3725 is 3725.
4. How to Find the LCM of 3717 and 3725?
Answer:
Least Common Multiple of 3717 and 3725 = 13845825
Step 1: Find the prime factorization of 3717
3717 = 3 x 3 x 7 x 59
Step 2: Find the prime factorization of 3725
3725 = 5 x 5 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13845825 = 3 x 3 x 5 x 5 x 7 x 59 x 149
Step 4: Therefore, the least common multiple of 3717 and 3725 is 13845825.