Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9475 and 9479 the smallest integer that is 89813525 that is divisible by both numbers.
Least Common Multiple (LCM) of 9475 and 9479 is 89813525.
LCM(9475,9479) = 89813525
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 9475 and 9479. First we will calculate the prime factors of 9475 and 9479.
Prime Factorization of 9475
5 | 9475 |
5 | 1895 |
379 | 379 |
1 |
Prime factors of 9475 are 5,379. Prime factorization of 9475 in exponential form is:
9475 = 52×3791
Prime Factorization of 9479
9479 | 9479 |
1 |
Prime factors of 9479 are 9479. Prime factorization of 9479 in exponential form is:
9479 = 94791
Now multiplying the highest exponent prime factors to calculate the LCM of 9475 and 9479.
LCM(9475,9479) = 52×3791×94791
LCM(9475,9479) = 89813525
Factors of 9475
List of positive integer factors of 9475 that divides 9475 without a remainder.
1, 5, 25, 379, 1895, 9475
Factors of 9479
List of positive integer factors of 9479 that divides 9479 without a remainder.
1, 9479
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9475 and 9479, than apply into the LCM equation.
GCF(9475,9479) = 1
LCM(9475,9479) = ( 9475 × 9479) / 1
LCM(9475,9479) = 89813525 / 1
LCM(9475,9479) = 89813525
(i) The LCM of 9479 and 9475 is associative
LCM of 9475 and 9479 = LCM of 9479 and 9475
1. What is the LCM of 9475 and 9479?
Answer: LCM of 9475 and 9479 is 89813525.
2. What are the Factors of 9475?
Answer: Factors of 9475 are 1, 5, 25, 379, 1895, 9475. There are 6 integers that are factors of 9475. The greatest factor of 9475 is 9475.
3. What are the Factors of 9479?
Answer: Factors of 9479 are 1, 9479. There are 2 integers that are factors of 9479. The greatest factor of 9479 is 9479.
4. How to Find the LCM of 9475 and 9479?
Answer:
Least Common Multiple of 9475 and 9479 = 89813525
Step 1: Find the prime factorization of 9475
9475 = 5 x 5 x 379
Step 2: Find the prime factorization of 9479
9479 = 9479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89813525 = 5 x 5 x 379 x 9479
Step 4: Therefore, the least common multiple of 9475 and 9479 is 89813525.