Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3764 and 3768 the smallest integer that is 3545688 that is divisible by both numbers.
Least Common Multiple (LCM) of 3764 and 3768 is 3545688.
LCM(3764,3768) = 3545688
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 3764 and 3768. First we will calculate the prime factors of 3764 and 3768.
Prime Factorization of 3764
2 | 3764 |
2 | 1882 |
941 | 941 |
1 |
Prime factors of 3764 are 2,941. Prime factorization of 3764 in exponential form is:
3764 = 22×9411
Prime Factorization of 3768
2 | 3768 |
2 | 1884 |
2 | 942 |
3 | 471 |
157 | 157 |
1 |
Prime factors of 3768 are 2, 3,157. Prime factorization of 3768 in exponential form is:
3768 = 23×31×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 3764 and 3768.
LCM(3764,3768) = 23×31×1571×9411
LCM(3764,3768) = 3545688
Factors of 3764
List of positive integer factors of 3764 that divides 3764 without a remainder.
1, 2, 4, 941, 1882, 3764
Factors of 3768
List of positive integer factors of 3768 that divides 3768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3764 and 3768, than apply into the LCM equation.
GCF(3764,3768) = 4
LCM(3764,3768) = ( 3764 × 3768) / 4
LCM(3764,3768) = 14182752 / 4
LCM(3764,3768) = 3545688
(i) The LCM of 3768 and 3764 is associative
LCM of 3764 and 3768 = LCM of 3768 and 3764
1. What is the LCM of 3764 and 3768?
Answer: LCM of 3764 and 3768 is 3545688.
2. What are the Factors of 3764?
Answer: Factors of 3764 are 1, 2, 4, 941, 1882, 3764. There are 6 integers that are factors of 3764. The greatest factor of 3764 is 3764.
3. What are the Factors of 3768?
Answer: Factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768. There are 16 integers that are factors of 3768. The greatest factor of 3768 is 3768.
4. How to Find the LCM of 3764 and 3768?
Answer:
Least Common Multiple of 3764 and 3768 = 3545688
Step 1: Find the prime factorization of 3764
3764 = 2 x 2 x 941
Step 2: Find the prime factorization of 3768
3768 = 2 x 2 x 2 x 3 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3545688 = 2 x 2 x 2 x 3 x 157 x 941
Step 4: Therefore, the least common multiple of 3764 and 3768 is 3545688.