Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9462 and 9470 the smallest integer that is 44802570 that is divisible by both numbers.
Least Common Multiple (LCM) of 9462 and 9470 is 44802570.
LCM(9462,9470) = 44802570
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 9462 and 9470. First we will calculate the prime factors of 9462 and 9470.
Prime Factorization of 9462
2 | 9462 |
3 | 4731 |
19 | 1577 |
83 | 83 |
1 |
Prime factors of 9462 are 2, 3, 19,83. Prime factorization of 9462 in exponential form is:
9462 = 21×31×191×831
Prime Factorization of 9470
2 | 9470 |
5 | 4735 |
947 | 947 |
1 |
Prime factors of 9470 are 2, 5,947. Prime factorization of 9470 in exponential form is:
9470 = 21×51×9471
Now multiplying the highest exponent prime factors to calculate the LCM of 9462 and 9470.
LCM(9462,9470) = 21×31×51×191×831×9471
LCM(9462,9470) = 44802570
Factors of 9462
List of positive integer factors of 9462 that divides 9462 without a remainder.
1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462
Factors of 9470
List of positive integer factors of 9470 that divides 9470 without a remainder.
1, 2, 5, 10, 947, 1894, 4735, 9470
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9462 and 9470, than apply into the LCM equation.
GCF(9462,9470) = 2
LCM(9462,9470) = ( 9462 × 9470) / 2
LCM(9462,9470) = 89605140 / 2
LCM(9462,9470) = 44802570
(i) The LCM of 9470 and 9462 is associative
LCM of 9462 and 9470 = LCM of 9470 and 9462
1. What is the LCM of 9462 and 9470?
Answer: LCM of 9462 and 9470 is 44802570.
2. What are the Factors of 9462?
Answer: Factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462. There are 16 integers that are factors of 9462. The greatest factor of 9462 is 9462.
3. What are the Factors of 9470?
Answer: Factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470. There are 8 integers that are factors of 9470. The greatest factor of 9470 is 9470.
4. How to Find the LCM of 9462 and 9470?
Answer:
Least Common Multiple of 9462 and 9470 = 44802570
Step 1: Find the prime factorization of 9462
9462 = 2 x 3 x 19 x 83
Step 2: Find the prime factorization of 9470
9470 = 2 x 5 x 947
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 44802570 = 2 x 3 x 5 x 19 x 83 x 947
Step 4: Therefore, the least common multiple of 9462 and 9470 is 44802570.