Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 307453 and 307460 the smallest integer that is 94529499380 that is divisible by both numbers.
Least Common Multiple (LCM) of 307453 and 307460 is 94529499380.
LCM(307453,307460) = 94529499380
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 307453 and 307460. First we will calculate the prime factors of 307453 and 307460.
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
Prime Factorization of 307460
2 | 307460 |
2 | 153730 |
5 | 76865 |
15373 | 15373 |
1 |
Prime factors of 307460 are 2, 5,15373. Prime factorization of 307460 in exponential form is:
307460 = 22×51×153731
Now multiplying the highest exponent prime factors to calculate the LCM of 307453 and 307460.
LCM(307453,307460) = 22×51×531×58011×153731
LCM(307453,307460) = 94529499380
Factors of 307453
List of positive integer factors of 307453 that divides 307453 without a remainder.
1, 53, 5801, 307453
Factors of 307460
List of positive integer factors of 307460 that divides 307460 without a remainder.
1, 2, 4, 5, 10, 20, 15373, 30746, 61492, 76865, 153730, 307460
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307453 and 307460, than apply into the LCM equation.
GCF(307453,307460) = 1
LCM(307453,307460) = ( 307453 × 307460) / 1
LCM(307453,307460) = 94529499380 / 1
LCM(307453,307460) = 94529499380
(i) The LCM of 307460 and 307453 is associative
LCM of 307453 and 307460 = LCM of 307460 and 307453
1. What is the LCM of 307453 and 307460?
Answer: LCM of 307453 and 307460 is 94529499380.
2. 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.
3. What are the Factors of 307460?
Answer: Factors of 307460 are 1, 2, 4, 5, 10, 20, 15373, 30746, 61492, 76865, 153730, 307460. There are 12 integers that are factors of 307460. The greatest factor of 307460 is 307460.
4. How to Find the LCM of 307453 and 307460?
Answer:
Least Common Multiple of 307453 and 307460 = 94529499380
Step 1: Find the prime factorization of 307453
307453 = 53 x 5801
Step 2: Find the prime factorization of 307460
307460 = 2 x 2 x 5 x 15373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94529499380 = 2 x 2 x 5 x 53 x 5801 x 15373
Step 4: Therefore, the least common multiple of 307453 and 307460 is 94529499380.