Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5665 and 5672 the smallest integer that is 32131880 that is divisible by both numbers.
Least Common Multiple (LCM) of 5665 and 5672 is 32131880.
LCM(5665,5672) = 32131880
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 5665 and 5672. First we will calculate the prime factors of 5665 and 5672.
Prime Factorization of 5665
5 | 5665 |
11 | 1133 |
103 | 103 |
1 |
Prime factors of 5665 are 5, 11,103. Prime factorization of 5665 in exponential form is:
5665 = 51×111×1031
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 5665 and 5672.
LCM(5665,5672) = 23×51×111×1031×7091
LCM(5665,5672) = 32131880
Factors of 5665
List of positive integer factors of 5665 that divides 5665 without a remainder.
1, 5, 11, 55, 103, 515, 1133, 5665
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 5665 and 5672, than apply into the LCM equation.
GCF(5665,5672) = 1
LCM(5665,5672) = ( 5665 × 5672) / 1
LCM(5665,5672) = 32131880 / 1
LCM(5665,5672) = 32131880
(i) The LCM of 5672 and 5665 is associative
LCM of 5665 and 5672 = LCM of 5672 and 5665
1. What is the LCM of 5665 and 5672?
Answer: LCM of 5665 and 5672 is 32131880.
2. What are the Factors of 5665?
Answer: Factors of 5665 are 1, 5, 11, 55, 103, 515, 1133, 5665. There are 8 integers that are factors of 5665. The greatest factor of 5665 is 5665.
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 5665 and 5672?
Answer:
Least Common Multiple of 5665 and 5672 = 32131880
Step 1: Find the prime factorization of 5665
5665 = 5 x 11 x 103
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 = 32131880 = 2 x 2 x 2 x 5 x 11 x 103 x 709
Step 4: Therefore, the least common multiple of 5665 and 5672 is 32131880.