Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9457 and 9464 the smallest integer that is 12785864 that is divisible by both numbers.
Least Common Multiple (LCM) of 9457 and 9464 is 12785864.
LCM(9457,9464) = 12785864
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 9457 and 9464. First we will calculate the prime factors of 9457 and 9464.
Prime Factorization of 9457
7 | 9457 |
7 | 1351 |
193 | 193 |
1 |
Prime factors of 9457 are 7,193. Prime factorization of 9457 in exponential form is:
9457 = 72×1931
Prime Factorization of 9464
2 | 9464 |
2 | 4732 |
2 | 2366 |
7 | 1183 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 9464 are 2, 7,13. Prime factorization of 9464 in exponential form is:
9464 = 23×71×132
Now multiplying the highest exponent prime factors to calculate the LCM of 9457 and 9464.
LCM(9457,9464) = 23×72×132×1931
LCM(9457,9464) = 12785864
Factors of 9457
List of positive integer factors of 9457 that divides 9457 without a remainder.
1, 7, 49, 193, 1351, 9457
Factors of 9464
List of positive integer factors of 9464 that divides 9464 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9457 and 9464, than apply into the LCM equation.
GCF(9457,9464) = 7
LCM(9457,9464) = ( 9457 × 9464) / 7
LCM(9457,9464) = 89501048 / 7
LCM(9457,9464) = 12785864
(i) The LCM of 9464 and 9457 is associative
LCM of 9457 and 9464 = LCM of 9464 and 9457
1. What is the LCM of 9457 and 9464?
Answer: LCM of 9457 and 9464 is 12785864.
2. What are the Factors of 9457?
Answer: Factors of 9457 are 1, 7, 49, 193, 1351, 9457. There are 6 integers that are factors of 9457. The greatest factor of 9457 is 9457.
3. What are the Factors of 9464?
Answer: Factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464. There are 24 integers that are factors of 9464. The greatest factor of 9464 is 9464.
4. How to Find the LCM of 9457 and 9464?
Answer:
Least Common Multiple of 9457 and 9464 = 12785864
Step 1: Find the prime factorization of 9457
9457 = 7 x 7 x 193
Step 2: Find the prime factorization of 9464
9464 = 2 x 2 x 2 x 7 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12785864 = 2 x 2 x 2 x 7 x 7 x 13 x 13 x 193
Step 4: Therefore, the least common multiple of 9457 and 9464 is 12785864.