Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8551 and 8552 the smallest integer that is 73128152 that is divisible by both numbers.
Least Common Multiple (LCM) of 8551 and 8552 is 73128152.
LCM(8551,8552) = 73128152
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 8551 and 8552. First we will calculate the prime factors of 8551 and 8552.
Prime Factorization of 8551
17 | 8551 |
503 | 503 |
1 |
Prime factors of 8551 are 17,503. Prime factorization of 8551 in exponential form is:
8551 = 171×5031
Prime Factorization of 8552
2 | 8552 |
2 | 4276 |
2 | 2138 |
1069 | 1069 |
1 |
Prime factors of 8552 are 2,1069. Prime factorization of 8552 in exponential form is:
8552 = 23×10691
Now multiplying the highest exponent prime factors to calculate the LCM of 8551 and 8552.
LCM(8551,8552) = 23×171×5031×10691
LCM(8551,8552) = 73128152
Factors of 8551
List of positive integer factors of 8551 that divides 8551 without a remainder.
1, 17, 503, 8551
Factors of 8552
List of positive integer factors of 8552 that divides 8552 without a remainder.
1, 2, 4, 8, 1069, 2138, 4276, 8552
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8551 and 8552, than apply into the LCM equation.
GCF(8551,8552) = 1
LCM(8551,8552) = ( 8551 × 8552) / 1
LCM(8551,8552) = 73128152 / 1
LCM(8551,8552) = 73128152
(i) The LCM of 8552 and 8551 is associative
LCM of 8551 and 8552 = LCM of 8552 and 8551
1. What is the LCM of 8551 and 8552?
Answer: LCM of 8551 and 8552 is 73128152.
2. What are the Factors of 8551?
Answer: Factors of 8551 are 1, 17, 503, 8551. There are 4 integers that are factors of 8551. The greatest factor of 8551 is 8551.
3. What are the Factors of 8552?
Answer: Factors of 8552 are 1, 2, 4, 8, 1069, 2138, 4276, 8552. There are 8 integers that are factors of 8552. The greatest factor of 8552 is 8552.
4. How to Find the LCM of 8551 and 8552?
Answer:
Least Common Multiple of 8551 and 8552 = 73128152
Step 1: Find the prime factorization of 8551
8551 = 17 x 503
Step 2: Find the prime factorization of 8552
8552 = 2 x 2 x 2 x 1069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73128152 = 2 x 2 x 2 x 17 x 503 x 1069
Step 4: Therefore, the least common multiple of 8551 and 8552 is 73128152.