Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3725 and 3732 the smallest integer that is 13901700 that is divisible by both numbers.
Least Common Multiple (LCM) of 3725 and 3732 is 13901700.
LCM(3725,3732) = 13901700
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 3725 and 3732. First we will calculate the prime factors of 3725 and 3732.
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
Prime Factorization of 3732
2 | 3732 |
2 | 1866 |
3 | 933 |
311 | 311 |
1 |
Prime factors of 3732 are 2, 3,311. Prime factorization of 3732 in exponential form is:
3732 = 22×31×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 3725 and 3732.
LCM(3725,3732) = 22×31×52×1491×3111
LCM(3725,3732) = 13901700
Factors of 3725
List of positive integer factors of 3725 that divides 3725 without a remainder.
1, 5, 25, 149, 745, 3725
Factors of 3732
List of positive integer factors of 3732 that divides 3732 without a remainder.
1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3725 and 3732, than apply into the LCM equation.
GCF(3725,3732) = 1
LCM(3725,3732) = ( 3725 × 3732) / 1
LCM(3725,3732) = 13901700 / 1
LCM(3725,3732) = 13901700
(i) The LCM of 3732 and 3725 is associative
LCM of 3725 and 3732 = LCM of 3732 and 3725
1. What is the LCM of 3725 and 3732?
Answer: LCM of 3725 and 3732 is 13901700.
2. 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.
3. What are the Factors of 3732?
Answer: Factors of 3732 are 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732. There are 12 integers that are factors of 3732. The greatest factor of 3732 is 3732.
4. How to Find the LCM of 3725 and 3732?
Answer:
Least Common Multiple of 3725 and 3732 = 13901700
Step 1: Find the prime factorization of 3725
3725 = 5 x 5 x 149
Step 2: Find the prime factorization of 3732
3732 = 2 x 2 x 3 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13901700 = 2 x 2 x 3 x 5 x 5 x 149 x 311
Step 4: Therefore, the least common multiple of 3725 and 3732 is 13901700.