Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8754 and 8758 the smallest integer that is 38333766 that is divisible by both numbers.
Least Common Multiple (LCM) of 8754 and 8758 is 38333766.
LCM(8754,8758) = 38333766
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 8754 and 8758. First we will calculate the prime factors of 8754 and 8758.
Prime Factorization of 8754
2 | 8754 |
3 | 4377 |
1459 | 1459 |
1 |
Prime factors of 8754 are 2, 3,1459. Prime factorization of 8754 in exponential form is:
8754 = 21×31×14591
Prime Factorization of 8758
2 | 8758 |
29 | 4379 |
151 | 151 |
1 |
Prime factors of 8758 are 2, 29,151. Prime factorization of 8758 in exponential form is:
8758 = 21×291×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 8754 and 8758.
LCM(8754,8758) = 21×31×291×1511×14591
LCM(8754,8758) = 38333766
Factors of 8754
List of positive integer factors of 8754 that divides 8754 without a remainder.
1, 2, 3, 6, 1459, 2918, 4377, 8754
Factors of 8758
List of positive integer factors of 8758 that divides 8758 without a remainder.
1, 2, 29, 58, 151, 302, 4379, 8758
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8754 and 8758, than apply into the LCM equation.
GCF(8754,8758) = 2
LCM(8754,8758) = ( 8754 × 8758) / 2
LCM(8754,8758) = 76667532 / 2
LCM(8754,8758) = 38333766
(i) The LCM of 8758 and 8754 is associative
LCM of 8754 and 8758 = LCM of 8758 and 8754
1. What is the LCM of 8754 and 8758?
Answer: LCM of 8754 and 8758 is 38333766.
2. What are the Factors of 8754?
Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.
3. What are the Factors of 8758?
Answer: Factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758. There are 8 integers that are factors of 8758. The greatest factor of 8758 is 8758.
4. How to Find the LCM of 8754 and 8758?
Answer:
Least Common Multiple of 8754 and 8758 = 38333766
Step 1: Find the prime factorization of 8754
8754 = 2 x 3 x 1459
Step 2: Find the prime factorization of 8758
8758 = 2 x 29 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38333766 = 2 x 3 x 29 x 151 x 1459
Step 4: Therefore, the least common multiple of 8754 and 8758 is 38333766.