Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3722 and 3730 the smallest integer that is 6941530 that is divisible by both numbers.
Least Common Multiple (LCM) of 3722 and 3730 is 6941530.
LCM(3722,3730) = 6941530
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 3722 and 3730. First we will calculate the prime factors of 3722 and 3730.
Prime Factorization of 3722
2 | 3722 |
1861 | 1861 |
1 |
Prime factors of 3722 are 2,1861. Prime factorization of 3722 in exponential form is:
3722 = 21×18611
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 3722 and 3730.
LCM(3722,3730) = 21×51×3731×18611
LCM(3722,3730) = 6941530
Factors of 3722
List of positive integer factors of 3722 that divides 3722 without a remainder.
1, 2, 1861, 3722
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 3722 and 3730, than apply into the LCM equation.
GCF(3722,3730) = 2
LCM(3722,3730) = ( 3722 × 3730) / 2
LCM(3722,3730) = 13883060 / 2
LCM(3722,3730) = 6941530
(i) The LCM of 3730 and 3722 is associative
LCM of 3722 and 3730 = LCM of 3730 and 3722
1. What is the LCM of 3722 and 3730?
Answer: LCM of 3722 and 3730 is 6941530.
2. What are the Factors of 3722?
Answer: Factors of 3722 are 1, 2, 1861, 3722. There are 4 integers that are factors of 3722. The greatest factor of 3722 is 3722.
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 3722 and 3730?
Answer:
Least Common Multiple of 3722 and 3730 = 6941530
Step 1: Find the prime factorization of 3722
3722 = 2 x 1861
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 = 6941530 = 2 x 5 x 373 x 1861
Step 4: Therefore, the least common multiple of 3722 and 3730 is 6941530.