Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1455 and 1459 the smallest integer that is 2122845 that is divisible by both numbers.
Least Common Multiple (LCM) of 1455 and 1459 is 2122845.
LCM(1455,1459) = 2122845
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 1455 and 1459. First we will calculate the prime factors of 1455 and 1459.
Prime Factorization of 1455
3 | 1455 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 1455 are 3, 5,97. Prime factorization of 1455 in exponential form is:
1455 = 31×51×971
Prime Factorization of 1459
1459 | 1459 |
1 |
Prime factors of 1459 are 1459. Prime factorization of 1459 in exponential form is:
1459 = 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 1455 and 1459.
LCM(1455,1459) = 31×51×971×14591
LCM(1455,1459) = 2122845
Factors of 1455
List of positive integer factors of 1455 that divides 1455 without a remainder.
1, 3, 5, 15, 97, 291, 485, 1455
Factors of 1459
List of positive integer factors of 1459 that divides 1459 without a remainder.
1, 1459
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1455 and 1459, than apply into the LCM equation.
GCF(1455,1459) = 1
LCM(1455,1459) = ( 1455 × 1459) / 1
LCM(1455,1459) = 2122845 / 1
LCM(1455,1459) = 2122845
(i) The LCM of 1459 and 1455 is associative
LCM of 1455 and 1459 = LCM of 1459 and 1455
1. What is the LCM of 1455 and 1459?
Answer: LCM of 1455 and 1459 is 2122845.
2. What are the Factors of 1455?
Answer: Factors of 1455 are 1, 3, 5, 15, 97, 291, 485, 1455. There are 8 integers that are factors of 1455. The greatest factor of 1455 is 1455.
3. What are the Factors of 1459?
Answer: Factors of 1459 are 1, 1459. There are 2 integers that are factors of 1459. The greatest factor of 1459 is 1459.
4. How to Find the LCM of 1455 and 1459?
Answer:
Least Common Multiple of 1455 and 1459 = 2122845
Step 1: Find the prime factorization of 1455
1455 = 3 x 5 x 97
Step 2: Find the prime factorization of 1459
1459 = 1459
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2122845 = 3 x 5 x 97 x 1459
Step 4: Therefore, the least common multiple of 1455 and 1459 is 2122845.