Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 307445 and 307453 the smallest integer that is 94524887585 that is divisible by both numbers.
Least Common Multiple (LCM) of 307445 and 307453 is 94524887585.
LCM(307445,307453) = 94524887585
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 307445 and 307453. First we will calculate the prime factors of 307445 and 307453.
Prime Factorization of 307445
5 | 307445 |
17 | 61489 |
3617 | 3617 |
1 |
Prime factors of 307445 are 5, 17,3617. Prime factorization of 307445 in exponential form is:
307445 = 51×171×36171
Prime Factorization of 307453
53 | 307453 |
5801 | 5801 |
1 |
Prime factors of 307453 are 53,5801. Prime factorization of 307453 in exponential form is:
307453 = 531×58011
Now multiplying the highest exponent prime factors to calculate the LCM of 307445 and 307453.
LCM(307445,307453) = 51×171×531×36171×58011
LCM(307445,307453) = 94524887585
Factors of 307445
List of positive integer factors of 307445 that divides 307445 without a remainder.
1, 5, 17, 85, 3617, 18085, 61489, 307445
Factors of 307453
List of positive integer factors of 307453 that divides 307453 without a remainder.
1, 53, 5801, 307453
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307445 and 307453, than apply into the LCM equation.
GCF(307445,307453) = 1
LCM(307445,307453) = ( 307445 × 307453) / 1
LCM(307445,307453) = 94524887585 / 1
LCM(307445,307453) = 94524887585
(i) The LCM of 307453 and 307445 is associative
LCM of 307445 and 307453 = LCM of 307453 and 307445
1. What is the LCM of 307445 and 307453?
Answer: LCM of 307445 and 307453 is 94524887585.
2. What are the Factors of 307445?
Answer: Factors of 307445 are 1, 5, 17, 85, 3617, 18085, 61489, 307445. There are 8 integers that are factors of 307445. The greatest factor of 307445 is 307445.
3. What are the Factors of 307453?
Answer: Factors of 307453 are 1, 53, 5801, 307453. There are 4 integers that are factors of 307453. The greatest factor of 307453 is 307453.
4. How to Find the LCM of 307445 and 307453?
Answer:
Least Common Multiple of 307445 and 307453 = 94524887585
Step 1: Find the prime factorization of 307445
307445 = 5 x 17 x 3617
Step 2: Find the prime factorization of 307453
307453 = 53 x 5801
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94524887585 = 5 x 17 x 53 x 3617 x 5801
Step 4: Therefore, the least common multiple of 307445 and 307453 is 94524887585.