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 3726 the smallest integer that is 13879350 that is divisible by both numbers.
Least Common Multiple (LCM) of 3725 and 3726 is 13879350.
LCM(3725,3726) = 13879350
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 3726. First we will calculate the prime factors of 3725 and 3726.
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 3726
2 | 3726 |
3 | 1863 |
3 | 621 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 3726 are 2, 3,23. Prime factorization of 3726 in exponential form is:
3726 = 21×34×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3725 and 3726.
LCM(3725,3726) = 21×34×52×231×1491
LCM(3725,3726) = 13879350
Factors of 3725
List of positive integer factors of 3725 that divides 3725 without a remainder.
1, 5, 25, 149, 745, 3725
Factors of 3726
List of positive integer factors of 3726 that divides 3726 without a remainder.
1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3725 and 3726, than apply into the LCM equation.
GCF(3725,3726) = 1
LCM(3725,3726) = ( 3725 × 3726) / 1
LCM(3725,3726) = 13879350 / 1
LCM(3725,3726) = 13879350
(i) The LCM of 3726 and 3725 is associative
LCM of 3725 and 3726 = LCM of 3726 and 3725
1. What is the LCM of 3725 and 3726?
Answer: LCM of 3725 and 3726 is 13879350.
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 3726?
Answer: Factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726. There are 20 integers that are factors of 3726. The greatest factor of 3726 is 3726.
4. How to Find the LCM of 3725 and 3726?
Answer:
Least Common Multiple of 3725 and 3726 = 13879350
Step 1: Find the prime factorization of 3725
3725 = 5 x 5 x 149
Step 2: Find the prime factorization of 3726
3726 = 2 x 3 x 3 x 3 x 3 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13879350 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 23 x 149
Step 4: Therefore, the least common multiple of 3725 and 3726 is 13879350.