Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 310439 and 310447 the smallest integer that is 96374856233 that is divisible by both numbers.
Least Common Multiple (LCM) of 310439 and 310447 is 96374856233.
LCM(310439,310447) = 96374856233
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 310439 and 310447. First we will calculate the prime factors of 310439 and 310447.
Prime Factorization of 310439
310439 | 310439 |
1 |
Prime factors of 310439 are 310439. Prime factorization of 310439 in exponential form is:
310439 = 3104391
Prime Factorization of 310447
310447 | 310447 |
1 |
Prime factors of 310447 are 310447. Prime factorization of 310447 in exponential form is:
310447 = 3104471
Now multiplying the highest exponent prime factors to calculate the LCM of 310439 and 310447.
LCM(310439,310447) = 3104391×3104471
LCM(310439,310447) = 96374856233
Factors of 310439
List of positive integer factors of 310439 that divides 310439 without a remainder.
1, 310439
Factors of 310447
List of positive integer factors of 310447 that divides 310447 without a remainder.
1, 310447
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310439 and 310447, than apply into the LCM equation.
GCF(310439,310447) = 1
LCM(310439,310447) = ( 310439 × 310447) / 1
LCM(310439,310447) = 96374856233 / 1
LCM(310439,310447) = 96374856233
(i) The LCM of 310447 and 310439 is associative
LCM of 310439 and 310447 = LCM of 310447 and 310439
1. What is the LCM of 310439 and 310447?
Answer: LCM of 310439 and 310447 is 96374856233.
2. What are the Factors of 310439?
Answer: Factors of 310439 are 1, 310439. There are 2 integers that are factors of 310439. The greatest factor of 310439 is 310439.
3. What are the Factors of 310447?
Answer: Factors of 310447 are 1, 310447. There are 2 integers that are factors of 310447. The greatest factor of 310447 is 310447.
4. How to Find the LCM of 310439 and 310447?
Answer:
Least Common Multiple of 310439 and 310447 = 96374856233
Step 1: Find the prime factorization of 310439
310439 = 310439
Step 2: Find the prime factorization of 310447
310447 = 310447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 96374856233 = 310439 x 310447
Step 4: Therefore, the least common multiple of 310439 and 310447 is 96374856233.