Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3720 and 3726 the smallest integer that is 2310120 that is divisible by both numbers.
Least Common Multiple (LCM) of 3720 and 3726 is 2310120.
LCM(3720,3726) = 2310120
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 3720 and 3726. First we will calculate the prime factors of 3720 and 3726.
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
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 3720 and 3726.
LCM(3720,3726) = 23×34×51×231×311
LCM(3720,3726) = 2310120
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
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 3720 and 3726, than apply into the LCM equation.
GCF(3720,3726) = 6
LCM(3720,3726) = ( 3720 × 3726) / 6
LCM(3720,3726) = 13860720 / 6
LCM(3720,3726) = 2310120
(i) The LCM of 3726 and 3720 is associative
LCM of 3720 and 3726 = LCM of 3726 and 3720
1. What is the LCM of 3720 and 3726?
Answer: LCM of 3720 and 3726 is 2310120.
2. 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.
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 3720 and 3726?
Answer:
Least Common Multiple of 3720 and 3726 = 2310120
Step 1: Find the prime factorization of 3720
3720 = 2 x 2 x 2 x 3 x 5 x 31
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 = 2310120 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 23 x 31
Step 4: Therefore, the least common multiple of 3720 and 3726 is 2310120.