Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5667 and 5672 the smallest integer that is 32143224 that is divisible by both numbers.
Least Common Multiple (LCM) of 5667 and 5672 is 32143224.
LCM(5667,5672) = 32143224
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 5667 and 5672. First we will calculate the prime factors of 5667 and 5672.
Prime Factorization of 5667
3 | 5667 |
1889 | 1889 |
1 |
Prime factors of 5667 are 3,1889. Prime factorization of 5667 in exponential form is:
5667 = 31×18891
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 5667 and 5672.
LCM(5667,5672) = 23×31×7091×18891
LCM(5667,5672) = 32143224
Factors of 5667
List of positive integer factors of 5667 that divides 5667 without a remainder.
1, 3, 1889, 5667
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 5667 and 5672, than apply into the LCM equation.
GCF(5667,5672) = 1
LCM(5667,5672) = ( 5667 × 5672) / 1
LCM(5667,5672) = 32143224 / 1
LCM(5667,5672) = 32143224
(i) The LCM of 5672 and 5667 is associative
LCM of 5667 and 5672 = LCM of 5672 and 5667
1. What is the LCM of 5667 and 5672?
Answer: LCM of 5667 and 5672 is 32143224.
2. What are the Factors of 5667?
Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.
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 5667 and 5672?
Answer:
Least Common Multiple of 5667 and 5672 = 32143224
Step 1: Find the prime factorization of 5667
5667 = 3 x 1889
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 = 32143224 = 2 x 2 x 2 x 3 x 709 x 1889
Step 4: Therefore, the least common multiple of 5667 and 5672 is 32143224.