Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3729 and 3730 the smallest integer that is 13909170 that is divisible by both numbers.
Least Common Multiple (LCM) of 3729 and 3730 is 13909170.
LCM(3729,3730) = 13909170
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 3729 and 3730. First we will calculate the prime factors of 3729 and 3730.
Prime Factorization of 3729
3 | 3729 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 3729 are 3, 11,113. Prime factorization of 3729 in exponential form is:
3729 = 31×111×1131
Prime Factorization of 3730
2 | 3730 |
5 | 1865 |
373 | 373 |
1 |
Prime factors of 3730 are 2, 5,373. Prime factorization of 3730 in exponential form is:
3730 = 21×51×3731
Now multiplying the highest exponent prime factors to calculate the LCM of 3729 and 3730.
LCM(3729,3730) = 21×31×51×111×1131×3731
LCM(3729,3730) = 13909170
Factors of 3729
List of positive integer factors of 3729 that divides 3729 without a remainder.
1, 3, 11, 33, 113, 339, 1243, 3729
Factors of 3730
List of positive integer factors of 3730 that divides 3730 without a remainder.
1, 2, 5, 10, 373, 746, 1865, 3730
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3729 and 3730, than apply into the LCM equation.
GCF(3729,3730) = 1
LCM(3729,3730) = ( 3729 × 3730) / 1
LCM(3729,3730) = 13909170 / 1
LCM(3729,3730) = 13909170
(i) The LCM of 3730 and 3729 is associative
LCM of 3729 and 3730 = LCM of 3730 and 3729
1. What is the LCM of 3729 and 3730?
Answer: LCM of 3729 and 3730 is 13909170.
2. What are the Factors of 3729?
Answer: Factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729. There are 8 integers that are factors of 3729. The greatest factor of 3729 is 3729.
3. What are the Factors of 3730?
Answer: Factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730. There are 8 integers that are factors of 3730. The greatest factor of 3730 is 3730.
4. How to Find the LCM of 3729 and 3730?
Answer:
Least Common Multiple of 3729 and 3730 = 13909170
Step 1: Find the prime factorization of 3729
3729 = 3 x 11 x 113
Step 2: Find the prime factorization of 3730
3730 = 2 x 5 x 373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13909170 = 2 x 3 x 5 x 11 x 113 x 373
Step 4: Therefore, the least common multiple of 3729 and 3730 is 13909170.