Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2621 and 2628 the smallest integer that is 6887988 that is divisible by both numbers.
Least Common Multiple (LCM) of 2621 and 2628 is 6887988.
LCM(2621,2628) = 6887988
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 2621 and 2628. First we will calculate the prime factors of 2621 and 2628.
Prime Factorization of 2621
2621 | 2621 |
1 |
Prime factors of 2621 are 2621. Prime factorization of 2621 in exponential form is:
2621 = 26211
Prime Factorization of 2628
2 | 2628 |
2 | 1314 |
3 | 657 |
3 | 219 |
73 | 73 |
1 |
Prime factors of 2628 are 2, 3,73. Prime factorization of 2628 in exponential form is:
2628 = 22×32×731
Now multiplying the highest exponent prime factors to calculate the LCM of 2621 and 2628.
LCM(2621,2628) = 22×32×731×26211
LCM(2621,2628) = 6887988
Factors of 2621
List of positive integer factors of 2621 that divides 2621 without a remainder.
1, 2621
Factors of 2628
List of positive integer factors of 2628 that divides 2628 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2621 and 2628, than apply into the LCM equation.
GCF(2621,2628) = 1
LCM(2621,2628) = ( 2621 × 2628) / 1
LCM(2621,2628) = 6887988 / 1
LCM(2621,2628) = 6887988
(i) The LCM of 2628 and 2621 is associative
LCM of 2621 and 2628 = LCM of 2628 and 2621
1. What is the LCM of 2621 and 2628?
Answer: LCM of 2621 and 2628 is 6887988.
2. What are the Factors of 2621?
Answer: Factors of 2621 are 1, 2621. There are 2 integers that are factors of 2621. The greatest factor of 2621 is 2621.
3. What are the Factors of 2628?
Answer: Factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628. There are 18 integers that are factors of 2628. The greatest factor of 2628 is 2628.
4. How to Find the LCM of 2621 and 2628?
Answer:
Least Common Multiple of 2621 and 2628 = 6887988
Step 1: Find the prime factorization of 2621
2621 = 2621
Step 2: Find the prime factorization of 2628
2628 = 2 x 2 x 3 x 3 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6887988 = 2 x 2 x 3 x 3 x 73 x 2621
Step 4: Therefore, the least common multiple of 2621 and 2628 is 6887988.