Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3676 and 3684 the smallest integer that is 3385596 that is divisible by both numbers.
Least Common Multiple (LCM) of 3676 and 3684 is 3385596.
LCM(3676,3684) = 3385596
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 3676 and 3684. First we will calculate the prime factors of 3676 and 3684.
Prime Factorization of 3676
2 | 3676 |
2 | 1838 |
919 | 919 |
1 |
Prime factors of 3676 are 2,919. Prime factorization of 3676 in exponential form is:
3676 = 22×9191
Prime Factorization of 3684
2 | 3684 |
2 | 1842 |
3 | 921 |
307 | 307 |
1 |
Prime factors of 3684 are 2, 3,307. Prime factorization of 3684 in exponential form is:
3684 = 22×31×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 3676 and 3684.
LCM(3676,3684) = 22×31×3071×9191
LCM(3676,3684) = 3385596
Factors of 3676
List of positive integer factors of 3676 that divides 3676 without a remainder.
1, 2, 4, 919, 1838, 3676
Factors of 3684
List of positive integer factors of 3684 that divides 3684 without a remainder.
1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3676 and 3684, than apply into the LCM equation.
GCF(3676,3684) = 4
LCM(3676,3684) = ( 3676 × 3684) / 4
LCM(3676,3684) = 13542384 / 4
LCM(3676,3684) = 3385596
(i) The LCM of 3684 and 3676 is associative
LCM of 3676 and 3684 = LCM of 3684 and 3676
1. What is the LCM of 3676 and 3684?
Answer: LCM of 3676 and 3684 is 3385596.
2. What are the Factors of 3676?
Answer: Factors of 3676 are 1, 2, 4, 919, 1838, 3676. There are 6 integers that are factors of 3676. The greatest factor of 3676 is 3676.
3. What are the Factors of 3684?
Answer: Factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684. There are 12 integers that are factors of 3684. The greatest factor of 3684 is 3684.
4. How to Find the LCM of 3676 and 3684?
Answer:
Least Common Multiple of 3676 and 3684 = 3385596
Step 1: Find the prime factorization of 3676
3676 = 2 x 2 x 919
Step 2: Find the prime factorization of 3684
3684 = 2 x 2 x 3 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3385596 = 2 x 2 x 3 x 307 x 919
Step 4: Therefore, the least common multiple of 3676 and 3684 is 3385596.