Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 306437 and 306443 the smallest integer that is 93905473591 that is divisible by both numbers.
Least Common Multiple (LCM) of 306437 and 306443 is 93905473591.
LCM(306437,306443) = 93905473591
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 306437 and 306443. First we will calculate the prime factors of 306437 and 306443.
Prime Factorization of 306437
306437 | 306437 |
1 |
Prime factors of 306437 are 306437. Prime factorization of 306437 in exponential form is:
306437 = 3064371
Prime Factorization of 306443
29 | 306443 |
10567 | 10567 |
1 |
Prime factors of 306443 are 29,10567. Prime factorization of 306443 in exponential form is:
306443 = 291×105671
Now multiplying the highest exponent prime factors to calculate the LCM of 306437 and 306443.
LCM(306437,306443) = 291×105671×3064371
LCM(306437,306443) = 93905473591
Factors of 306437
List of positive integer factors of 306437 that divides 306437 without a remainder.
1, 306437
Factors of 306443
List of positive integer factors of 306443 that divides 306443 without a remainder.
1, 29, 10567, 306443
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306437 and 306443, than apply into the LCM equation.
GCF(306437,306443) = 1
LCM(306437,306443) = ( 306437 × 306443) / 1
LCM(306437,306443) = 93905473591 / 1
LCM(306437,306443) = 93905473591
(i) The LCM of 306443 and 306437 is associative
LCM of 306437 and 306443 = LCM of 306443 and 306437
1. What is the LCM of 306437 and 306443?
Answer: LCM of 306437 and 306443 is 93905473591.
2. What are the Factors of 306437?
Answer: Factors of 306437 are 1, 306437. There are 2 integers that are factors of 306437. The greatest factor of 306437 is 306437.
3. What are the Factors of 306443?
Answer: Factors of 306443 are 1, 29, 10567, 306443. There are 4 integers that are factors of 306443. The greatest factor of 306443 is 306443.
4. How to Find the LCM of 306437 and 306443?
Answer:
Least Common Multiple of 306437 and 306443 = 93905473591
Step 1: Find the prime factorization of 306437
306437 = 306437
Step 2: Find the prime factorization of 306443
306443 = 29 x 10567
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93905473591 = 29 x 10567 x 306437
Step 4: Therefore, the least common multiple of 306437 and 306443 is 93905473591.