Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8570 and 8572 the smallest integer that is 36731020 that is divisible by both numbers.
Least Common Multiple (LCM) of 8570 and 8572 is 36731020.
LCM(8570,8572) = 36731020
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 8570 and 8572. First we will calculate the prime factors of 8570 and 8572.
Prime Factorization of 8570
2 | 8570 |
5 | 4285 |
857 | 857 |
1 |
Prime factors of 8570 are 2, 5,857. Prime factorization of 8570 in exponential form is:
8570 = 21×51×8571
Prime Factorization of 8572
2 | 8572 |
2 | 4286 |
2143 | 2143 |
1 |
Prime factors of 8572 are 2,2143. Prime factorization of 8572 in exponential form is:
8572 = 22×21431
Now multiplying the highest exponent prime factors to calculate the LCM of 8570 and 8572.
LCM(8570,8572) = 22×51×8571×21431
LCM(8570,8572) = 36731020
Factors of 8570
List of positive integer factors of 8570 that divides 8570 without a remainder.
1, 2, 5, 10, 857, 1714, 4285, 8570
Factors of 8572
List of positive integer factors of 8572 that divides 8572 without a remainder.
1, 2, 4, 2143, 4286, 8572
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8570 and 8572, than apply into the LCM equation.
GCF(8570,8572) = 2
LCM(8570,8572) = ( 8570 × 8572) / 2
LCM(8570,8572) = 73462040 / 2
LCM(8570,8572) = 36731020
(i) The LCM of 8572 and 8570 is associative
LCM of 8570 and 8572 = LCM of 8572 and 8570
1. What is the LCM of 8570 and 8572?
Answer: LCM of 8570 and 8572 is 36731020.
2. What are the Factors of 8570?
Answer: Factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570. There are 8 integers that are factors of 8570. The greatest factor of 8570 is 8570.
3. What are the Factors of 8572?
Answer: Factors of 8572 are 1, 2, 4, 2143, 4286, 8572. There are 6 integers that are factors of 8572. The greatest factor of 8572 is 8572.
4. How to Find the LCM of 8570 and 8572?
Answer:
Least Common Multiple of 8570 and 8572 = 36731020
Step 1: Find the prime factorization of 8570
8570 = 2 x 5 x 857
Step 2: Find the prime factorization of 8572
8572 = 2 x 2 x 2143
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36731020 = 2 x 2 x 5 x 857 x 2143
Step 4: Therefore, the least common multiple of 8570 and 8572 is 36731020.