Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 434 and 436 the smallest integer that is 94612 that is divisible by both numbers.
Least Common Multiple (LCM) of 434 and 436 is 94612.
LCM(434,436) = 94612
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 434 and 436. First we will calculate the prime factors of 434 and 436.
Prime Factorization of 434
2 | 434 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:
434 = 21×71×311
Prime Factorization of 436
2 | 436 |
2 | 218 |
109 | 109 |
1 |
Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:
436 = 22×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 434 and 436.
LCM(434,436) = 22×71×311×1091
LCM(434,436) = 94612
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 434 and 436, than apply into the LCM equation.
GCF(434,436) = 2
LCM(434,436) = ( 434 × 436) / 2
LCM(434,436) = 189224 / 2
LCM(434,436) = 94612
(i) The LCM of 436 and 434 is associative
LCM of 434 and 436 = LCM of 436 and 434
1. What is the LCM of 434 and 436?
Answer: LCM of 434 and 436 is 94612.
2. What are the Factors of 434?
Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.
3. What are the Factors of 436?
Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.
4. How to Find the LCM of 434 and 436?
Answer:
Least Common Multiple of 434 and 436 = 94612
Step 1: Find the prime factorization of 434
434 = 2 x 7 x 31
Step 2: Find the prime factorization of 436
436 = 2 x 2 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94612 = 2 x 2 x 7 x 31 x 109
Step 4: Therefore, the least common multiple of 434 and 436 is 94612.