Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 307451 and 307457 the smallest integer that is 94527962107 that is divisible by both numbers.
Least Common Multiple (LCM) of 307451 and 307457 is 94527962107.
LCM(307451,307457) = 94527962107
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 307451 and 307457. First we will calculate the prime factors of 307451 and 307457.
Prime Factorization of 307451
307451 | 307451 |
1 |
Prime factors of 307451 are 307451. Prime factorization of 307451 in exponential form is:
307451 = 3074511
Prime Factorization of 307457
131 | 307457 |
2347 | 2347 |
1 |
Prime factors of 307457 are 131,2347. Prime factorization of 307457 in exponential form is:
307457 = 1311×23471
Now multiplying the highest exponent prime factors to calculate the LCM of 307451 and 307457.
LCM(307451,307457) = 1311×23471×3074511
LCM(307451,307457) = 94527962107
Factors of 307451
List of positive integer factors of 307451 that divides 307451 without a remainder.
1, 307451
Factors of 307457
List of positive integer factors of 307457 that divides 307457 without a remainder.
1, 131, 2347, 307457
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307451 and 307457, than apply into the LCM equation.
GCF(307451,307457) = 1
LCM(307451,307457) = ( 307451 × 307457) / 1
LCM(307451,307457) = 94527962107 / 1
LCM(307451,307457) = 94527962107
(i) The LCM of 307457 and 307451 is associative
LCM of 307451 and 307457 = LCM of 307457 and 307451
1. What is the LCM of 307451 and 307457?
Answer: LCM of 307451 and 307457 is 94527962107.
2. What are the Factors of 307451?
Answer: Factors of 307451 are 1, 307451. There are 2 integers that are factors of 307451. The greatest factor of 307451 is 307451.
3. What are the Factors of 307457?
Answer: Factors of 307457 are 1, 131, 2347, 307457. There are 4 integers that are factors of 307457. The greatest factor of 307457 is 307457.
4. How to Find the LCM of 307451 and 307457?
Answer:
Least Common Multiple of 307451 and 307457 = 94527962107
Step 1: Find the prime factorization of 307451
307451 = 307451
Step 2: Find the prime factorization of 307457
307457 = 131 x 2347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94527962107 = 131 x 2347 x 307451
Step 4: Therefore, the least common multiple of 307451 and 307457 is 94527962107.