Least Common Multiple of 306429 and 306437
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 306429 and 306437 the smallest integer that is 93901183473 that is divisible by both numbers.
Least Common Multiple (LCM) of 306429 and 306437 is 93901183473.
LCM(306429,306437) = 93901183473
LCM of 306429 and 306437
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 306429 and 306437 by Prime method
- Least Common Multiple of 306429 and 306437 with GCF Formula
LCM of 306429 and 306437 is 93901183473
Least common multiple can be found by multiplying the highest exponent prime factors of 306429 and 306437. First we will calculate the prime factors of 306429 and 306437.
Prime Factorization of 306429
| 3 | 306429 |
| 23 | 102143 |
| 4441 | 4441 |
| 1 |
Prime factors of 306429 are 3, 23,4441. Prime factorization of 306429 in exponential form is:
306429 = 31×231×44411
Prime Factorization of 306437
| 306437 | 306437 |
| 1 |
Prime factors of 306437 are 306437. Prime factorization of 306437 in exponential form is:
306437 = 3064371
Now multiplying the highest exponent prime factors to calculate the LCM of 306429 and 306437.
LCM(306429,306437) = 31×231×44411×3064371
LCM(306429,306437) = 93901183473
Factors of 306429
List of positive integer factors of 306429 that divides 306429 without a remainder.
1, 3, 23, 69, 4441, 13323, 102143, 306429
Factors of 306437
List of positive integer factors of 306437 that divides 306437 without a remainder.
1, 306437
Least Common Multiple of 306429 and 306437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306429 and 306437, than apply into the LCM equation.
GCF(306429,306437) = 1
LCM(306429,306437) = ( 306429 × 306437) / 1
LCM(306429,306437) = 93901183473 / 1
LCM(306429,306437) = 93901183473
Properties of LCM 306429 and 306437
(i) The LCM of 306437 and 306429 is associative
LCM of 306429 and 306437 = LCM of 306437 and 306429
Related Least Common Multiples of 306429
Related Least Common Multiples of 306437
Frequently Asked Questions on LCM of 306429 and 306437
1. What is the LCM of 306429 and 306437?
Answer: LCM of 306429 and 306437 is 93901183473.
2. What are the Factors of 306429?
Answer: Factors of 306429 are 1, 3, 23, 69, 4441, 13323, 102143, 306429. There are 8 integers that are factors of 306429. The greatest factor of 306429 is 306429.
3. 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.
4. How to Find the LCM of 306429 and 306437?
Answer:
Least Common Multiple of 306429 and 306437 = 93901183473
Step 1: Find the prime factorization of 306429
306429 = 3 x 23 x 4441
Step 2: Find the prime factorization of 306437
306437 = 306437
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93901183473 = 3 x 23 x 4441 x 306437
Step 4: Therefore, the least common multiple of 306429 and 306437 is 93901183473.