Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1430 and 1434 the smallest integer that is 1025310 that is divisible by both numbers.
Least Common Multiple (LCM) of 1430 and 1434 is 1025310.
LCM(1430,1434) = 1025310
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 1430 and 1434. First we will calculate the prime factors of 1430 and 1434.
Prime Factorization of 1430
2 | 1430 |
5 | 715 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 1430 are 2, 5, 11,13. Prime factorization of 1430 in exponential form is:
1430 = 21×51×111×131
Prime Factorization of 1434
2 | 1434 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 1434 are 2, 3,239. Prime factorization of 1434 in exponential form is:
1434 = 21×31×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 1430 and 1434.
LCM(1430,1434) = 21×31×51×111×131×2391
LCM(1430,1434) = 1025310
Factors of 1430
List of positive integer factors of 1430 that divides 1430 without a remainder.
1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
Factors of 1434
List of positive integer factors of 1434 that divides 1434 without a remainder.
1, 2, 3, 6, 239, 478, 717, 1434
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1430 and 1434, than apply into the LCM equation.
GCF(1430,1434) = 2
LCM(1430,1434) = ( 1430 × 1434) / 2
LCM(1430,1434) = 2050620 / 2
LCM(1430,1434) = 1025310
(i) The LCM of 1434 and 1430 is associative
LCM of 1430 and 1434 = LCM of 1434 and 1430
1. What is the LCM of 1430 and 1434?
Answer: LCM of 1430 and 1434 is 1025310.
2. What are the Factors of 1430?
Answer: Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430. There are 16 integers that are factors of 1430. The greatest factor of 1430 is 1430.
3. What are the Factors of 1434?
Answer: Factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434. There are 8 integers that are factors of 1434. The greatest factor of 1434 is 1434.
4. How to Find the LCM of 1430 and 1434?
Answer:
Least Common Multiple of 1430 and 1434 = 1025310
Step 1: Find the prime factorization of 1430
1430 = 2 x 5 x 11 x 13
Step 2: Find the prime factorization of 1434
1434 = 2 x 3 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1025310 = 2 x 3 x 5 x 11 x 13 x 239
Step 4: Therefore, the least common multiple of 1430 and 1434 is 1025310.