Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2764 and 2766 the smallest integer that is 3822612 that is divisible by both numbers.
Least Common Multiple (LCM) of 2764 and 2766 is 3822612.
LCM(2764,2766) = 3822612
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 2764 and 2766. First we will calculate the prime factors of 2764 and 2766.
Prime Factorization of 2764
2 | 2764 |
2 | 1382 |
691 | 691 |
1 |
Prime factors of 2764 are 2,691. Prime factorization of 2764 in exponential form is:
2764 = 22×6911
Prime Factorization of 2766
2 | 2766 |
3 | 1383 |
461 | 461 |
1 |
Prime factors of 2766 are 2, 3,461. Prime factorization of 2766 in exponential form is:
2766 = 21×31×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 2764 and 2766.
LCM(2764,2766) = 22×31×4611×6911
LCM(2764,2766) = 3822612
Factors of 2764
List of positive integer factors of 2764 that divides 2764 without a remainder.
1, 2, 4, 691, 1382, 2764
Factors of 2766
List of positive integer factors of 2766 that divides 2766 without a remainder.
1, 2, 3, 6, 461, 922, 1383, 2766
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2764 and 2766, than apply into the LCM equation.
GCF(2764,2766) = 2
LCM(2764,2766) = ( 2764 × 2766) / 2
LCM(2764,2766) = 7645224 / 2
LCM(2764,2766) = 3822612
(i) The LCM of 2766 and 2764 is associative
LCM of 2764 and 2766 = LCM of 2766 and 2764
1. What is the LCM of 2764 and 2766?
Answer: LCM of 2764 and 2766 is 3822612.
2. What are the Factors of 2764?
Answer: Factors of 2764 are 1, 2, 4, 691, 1382, 2764. There are 6 integers that are factors of 2764. The greatest factor of 2764 is 2764.
3. What are the Factors of 2766?
Answer: Factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766. There are 8 integers that are factors of 2766. The greatest factor of 2766 is 2766.
4. How to Find the LCM of 2764 and 2766?
Answer:
Least Common Multiple of 2764 and 2766 = 3822612
Step 1: Find the prime factorization of 2764
2764 = 2 x 2 x 691
Step 2: Find the prime factorization of 2766
2766 = 2 x 3 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3822612 = 2 x 2 x 3 x 461 x 691
Step 4: Therefore, the least common multiple of 2764 and 2766 is 3822612.