Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5666 and 5672 the smallest integer that is 16068776 that is divisible by both numbers.
Least Common Multiple (LCM) of 5666 and 5672 is 16068776.
LCM(5666,5672) = 16068776
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 5666 and 5672. First we will calculate the prime factors of 5666 and 5672.
Prime Factorization of 5666
2 | 5666 |
2833 | 2833 |
1 |
Prime factors of 5666 are 2,2833. Prime factorization of 5666 in exponential form is:
5666 = 21×28331
Prime Factorization of 5672
2 | 5672 |
2 | 2836 |
2 | 1418 |
709 | 709 |
1 |
Prime factors of 5672 are 2,709. Prime factorization of 5672 in exponential form is:
5672 = 23×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 5666 and 5672.
LCM(5666,5672) = 23×7091×28331
LCM(5666,5672) = 16068776
Factors of 5666
List of positive integer factors of 5666 that divides 5666 without a remainder.
1, 2, 2833, 5666
Factors of 5672
List of positive integer factors of 5672 that divides 5672 without a remainder.
1, 2, 4, 8, 709, 1418, 2836, 5672
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5666 and 5672, than apply into the LCM equation.
GCF(5666,5672) = 2
LCM(5666,5672) = ( 5666 × 5672) / 2
LCM(5666,5672) = 32137552 / 2
LCM(5666,5672) = 16068776
(i) The LCM of 5672 and 5666 is associative
LCM of 5666 and 5672 = LCM of 5672 and 5666
1. What is the LCM of 5666 and 5672?
Answer: LCM of 5666 and 5672 is 16068776.
2. What are the Factors of 5666?
Answer: Factors of 5666 are 1, 2, 2833, 5666. There are 4 integers that are factors of 5666. The greatest factor of 5666 is 5666.
3. What are the Factors of 5672?
Answer: Factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672. There are 8 integers that are factors of 5672. The greatest factor of 5672 is 5672.
4. How to Find the LCM of 5666 and 5672?
Answer:
Least Common Multiple of 5666 and 5672 = 16068776
Step 1: Find the prime factorization of 5666
5666 = 2 x 2833
Step 2: Find the prime factorization of 5672
5672 = 2 x 2 x 2 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16068776 = 2 x 2 x 2 x 709 x 2833
Step 4: Therefore, the least common multiple of 5666 and 5672 is 16068776.