Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8666 and 8672 the smallest integer that is 37575776 that is divisible by both numbers.
Least Common Multiple (LCM) of 8666 and 8672 is 37575776.
LCM(8666,8672) = 37575776
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 8666 and 8672. First we will calculate the prime factors of 8666 and 8672.
Prime Factorization of 8666
2 | 8666 |
7 | 4333 |
619 | 619 |
1 |
Prime factors of 8666 are 2, 7,619. Prime factorization of 8666 in exponential form is:
8666 = 21×71×6191
Prime Factorization of 8672
2 | 8672 |
2 | 4336 |
2 | 2168 |
2 | 1084 |
2 | 542 |
271 | 271 |
1 |
Prime factors of 8672 are 2,271. Prime factorization of 8672 in exponential form is:
8672 = 25×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 8666 and 8672.
LCM(8666,8672) = 25×71×2711×6191
LCM(8666,8672) = 37575776
Factors of 8666
List of positive integer factors of 8666 that divides 8666 without a remainder.
1, 2, 7, 14, 619, 1238, 4333, 8666
Factors of 8672
List of positive integer factors of 8672 that divides 8672 without a remainder.
1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8666 and 8672, than apply into the LCM equation.
GCF(8666,8672) = 2
LCM(8666,8672) = ( 8666 × 8672) / 2
LCM(8666,8672) = 75151552 / 2
LCM(8666,8672) = 37575776
(i) The LCM of 8672 and 8666 is associative
LCM of 8666 and 8672 = LCM of 8672 and 8666
1. What is the LCM of 8666 and 8672?
Answer: LCM of 8666 and 8672 is 37575776.
2. What are the Factors of 8666?
Answer: Factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666. There are 8 integers that are factors of 8666. The greatest factor of 8666 is 8666.
3. What are the Factors of 8672?
Answer: Factors of 8672 are 1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336, 8672. There are 12 integers that are factors of 8672. The greatest factor of 8672 is 8672.
4. How to Find the LCM of 8666 and 8672?
Answer:
Least Common Multiple of 8666 and 8672 = 37575776
Step 1: Find the prime factorization of 8666
8666 = 2 x 7 x 619
Step 2: Find the prime factorization of 8672
8672 = 2 x 2 x 2 x 2 x 2 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37575776 = 2 x 2 x 2 x 2 x 2 x 7 x 271 x 619
Step 4: Therefore, the least common multiple of 8666 and 8672 is 37575776.