Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3732 and 3739 the smallest integer that is 13953948 that is divisible by both numbers.
Least Common Multiple (LCM) of 3732 and 3739 is 13953948.
LCM(3732,3739) = 13953948
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 3732 and 3739. First we will calculate the prime factors of 3732 and 3739.
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
Prime Factorization of 3739
3739 | 3739 |
1 |
Prime factors of 3739 are 3739. Prime factorization of 3739 in exponential form is:
3739 = 37391
Now multiplying the highest exponent prime factors to calculate the LCM of 3732 and 3739.
LCM(3732,3739) = 22×31×3111×37391
LCM(3732,3739) = 13953948
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
Factors of 3739
List of positive integer factors of 3739 that divides 3739 without a remainder.
1, 3739
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3732 and 3739, than apply into the LCM equation.
GCF(3732,3739) = 1
LCM(3732,3739) = ( 3732 × 3739) / 1
LCM(3732,3739) = 13953948 / 1
LCM(3732,3739) = 13953948
(i) The LCM of 3739 and 3732 is associative
LCM of 3732 and 3739 = LCM of 3739 and 3732
1. What is the LCM of 3732 and 3739?
Answer: LCM of 3732 and 3739 is 13953948.
2. 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.
3. What are the Factors of 3739?
Answer: Factors of 3739 are 1, 3739. There are 2 integers that are factors of 3739. The greatest factor of 3739 is 3739.
4. How to Find the LCM of 3732 and 3739?
Answer:
Least Common Multiple of 3732 and 3739 = 13953948
Step 1: Find the prime factorization of 3732
3732 = 2 x 2 x 3 x 311
Step 2: Find the prime factorization of 3739
3739 = 3739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13953948 = 2 x 2 x 3 x 311 x 3739
Step 4: Therefore, the least common multiple of 3732 and 3739 is 13953948.