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 306435 the smallest integer that is 31300190205 that is divisible by both numbers.
Least Common Multiple (LCM) of 306429 and 306435 is 31300190205.
LCM(306429,306435) = 31300190205
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 306429 and 306435. First we will calculate the prime factors of 306429 and 306435.
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 306435
3 | 306435 |
5 | 102145 |
31 | 20429 |
659 | 659 |
1 |
Prime factors of 306435 are 3, 5, 31,659. Prime factorization of 306435 in exponential form is:
306435 = 31×51×311×6591
Now multiplying the highest exponent prime factors to calculate the LCM of 306429 and 306435.
LCM(306429,306435) = 31×51×231×311×6591×44411
LCM(306429,306435) = 31300190205
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 306435
List of positive integer factors of 306435 that divides 306435 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306429 and 306435, than apply into the LCM equation.
GCF(306429,306435) = 3
LCM(306429,306435) = ( 306429 × 306435) / 3
LCM(306429,306435) = 93900570615 / 3
LCM(306429,306435) = 31300190205
(i) The LCM of 306435 and 306429 is associative
LCM of 306429 and 306435 = LCM of 306435 and 306429
1. What is the LCM of 306429 and 306435?
Answer: LCM of 306429 and 306435 is 31300190205.
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 306435?
Answer: Factors of 306435 are 1, 3, 5, 15, 31, 93, 155, 465, 659, 1977, 3295, 9885, 20429, 61287, 102145, 306435. There are 16 integers that are factors of 306435. The greatest factor of 306435 is 306435.
4. How to Find the LCM of 306429 and 306435?
Answer:
Least Common Multiple of 306429 and 306435 = 31300190205
Step 1: Find the prime factorization of 306429
306429 = 3 x 23 x 4441
Step 2: Find the prime factorization of 306435
306435 = 3 x 5 x 31 x 659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31300190205 = 3 x 5 x 23 x 31 x 659 x 4441
Step 4: Therefore, the least common multiple of 306429 and 306435 is 31300190205.