Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3770 and 3771 the smallest integer that is 14216670 that is divisible by both numbers.
Least Common Multiple (LCM) of 3770 and 3771 is 14216670.
LCM(3770,3771) = 14216670
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 3770 and 3771. First we will calculate the prime factors of 3770 and 3771.
Prime Factorization of 3770
2 | 3770 |
5 | 1885 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 3770 are 2, 5, 13,29. Prime factorization of 3770 in exponential form is:
3770 = 21×51×131×291
Prime Factorization of 3771
3 | 3771 |
3 | 1257 |
419 | 419 |
1 |
Prime factors of 3771 are 3,419. Prime factorization of 3771 in exponential form is:
3771 = 32×4191
Now multiplying the highest exponent prime factors to calculate the LCM of 3770 and 3771.
LCM(3770,3771) = 21×32×51×131×291×4191
LCM(3770,3771) = 14216670
Factors of 3770
List of positive integer factors of 3770 that divides 3770 without a remainder.
1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770
Factors of 3771
List of positive integer factors of 3771 that divides 3771 without a remainder.
1, 3, 9, 419, 1257, 3771
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3770 and 3771, than apply into the LCM equation.
GCF(3770,3771) = 1
LCM(3770,3771) = ( 3770 × 3771) / 1
LCM(3770,3771) = 14216670 / 1
LCM(3770,3771) = 14216670
(i) The LCM of 3771 and 3770 is associative
LCM of 3770 and 3771 = LCM of 3771 and 3770
1. What is the LCM of 3770 and 3771?
Answer: LCM of 3770 and 3771 is 14216670.
2. What are the Factors of 3770?
Answer: Factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770. There are 16 integers that are factors of 3770. The greatest factor of 3770 is 3770.
3. What are the Factors of 3771?
Answer: Factors of 3771 are 1, 3, 9, 419, 1257, 3771. There are 6 integers that are factors of 3771. The greatest factor of 3771 is 3771.
4. How to Find the LCM of 3770 and 3771?
Answer:
Least Common Multiple of 3770 and 3771 = 14216670
Step 1: Find the prime factorization of 3770
3770 = 2 x 5 x 13 x 29
Step 2: Find the prime factorization of 3771
3771 = 3 x 3 x 419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14216670 = 2 x 3 x 3 x 5 x 13 x 29 x 419
Step 4: Therefore, the least common multiple of 3770 and 3771 is 14216670.