Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 534 and 535 the smallest integer that is 285690 that is divisible by both numbers.
Least Common Multiple (LCM) of 534 and 535 is 285690.
LCM(534,535) = 285690
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 534 and 535. First we will calculate the prime factors of 534 and 535.
Prime Factorization of 534
2 | 534 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 534 are 2, 3,89. Prime factorization of 534 in exponential form is:
534 = 21×31×891
Prime Factorization of 535
5 | 535 |
107 | 107 |
1 |
Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:
535 = 51×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 534 and 535.
LCM(534,535) = 21×31×51×891×1071
LCM(534,535) = 285690
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1, 5, 107, 535
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 534 and 535, than apply into the LCM equation.
GCF(534,535) = 1
LCM(534,535) = ( 534 × 535) / 1
LCM(534,535) = 285690 / 1
LCM(534,535) = 285690
(i) The LCM of 535 and 534 is associative
LCM of 534 and 535 = LCM of 535 and 534
1. What is the LCM of 534 and 535?
Answer: LCM of 534 and 535 is 285690.
2. What are the Factors of 534?
Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.
3. What are the Factors of 535?
Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.
4. How to Find the LCM of 534 and 535?
Answer:
Least Common Multiple of 534 and 535 = 285690
Step 1: Find the prime factorization of 534
534 = 2 x 3 x 89
Step 2: Find the prime factorization of 535
535 = 5 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 285690 = 2 x 3 x 5 x 89 x 107
Step 4: Therefore, the least common multiple of 534 and 535 is 285690.