Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9473 and 9480 the smallest integer that is 89804040 that is divisible by both numbers.
Least Common Multiple (LCM) of 9473 and 9480 is 89804040.
LCM(9473,9480) = 89804040
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 9473 and 9480. First we will calculate the prime factors of 9473 and 9480.
Prime Factorization of 9473
9473 | 9473 |
1 |
Prime factors of 9473 are 9473. Prime factorization of 9473 in exponential form is:
9473 = 94731
Prime Factorization of 9480
2 | 9480 |
2 | 4740 |
2 | 2370 |
3 | 1185 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 9480 are 2, 3, 5,79. Prime factorization of 9480 in exponential form is:
9480 = 23×31×51×791
Now multiplying the highest exponent prime factors to calculate the LCM of 9473 and 9480.
LCM(9473,9480) = 23×31×51×791×94731
LCM(9473,9480) = 89804040
Factors of 9473
List of positive integer factors of 9473 that divides 9473 without a remainder.
1, 9473
Factors of 9480
List of positive integer factors of 9480 that divides 9480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9473 and 9480, than apply into the LCM equation.
GCF(9473,9480) = 1
LCM(9473,9480) = ( 9473 × 9480) / 1
LCM(9473,9480) = 89804040 / 1
LCM(9473,9480) = 89804040
(i) The LCM of 9480 and 9473 is associative
LCM of 9473 and 9480 = LCM of 9480 and 9473
1. What is the LCM of 9473 and 9480?
Answer: LCM of 9473 and 9480 is 89804040.
2. What are the Factors of 9473?
Answer: Factors of 9473 are 1, 9473. There are 2 integers that are factors of 9473. The greatest factor of 9473 is 9473.
3. What are the Factors of 9480?
Answer: Factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480. There are 32 integers that are factors of 9480. The greatest factor of 9480 is 9480.
4. How to Find the LCM of 9473 and 9480?
Answer:
Least Common Multiple of 9473 and 9480 = 89804040
Step 1: Find the prime factorization of 9473
9473 = 9473
Step 2: Find the prime factorization of 9480
9480 = 2 x 2 x 2 x 3 x 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89804040 = 2 x 2 x 2 x 3 x 5 x 79 x 9473
Step 4: Therefore, the least common multiple of 9473 and 9480 is 89804040.