Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1451 and 1453 the smallest integer that is 2108303 that is divisible by both numbers.
Least Common Multiple (LCM) of 1451 and 1453 is 2108303.
LCM(1451,1453) = 2108303
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 1451 and 1453. First we will calculate the prime factors of 1451 and 1453.
Prime Factorization of 1451
1451 | 1451 |
1 |
Prime factors of 1451 are 1451. Prime factorization of 1451 in exponential form is:
1451 = 14511
Prime Factorization of 1453
1453 | 1453 |
1 |
Prime factors of 1453 are 1453. Prime factorization of 1453 in exponential form is:
1453 = 14531
Now multiplying the highest exponent prime factors to calculate the LCM of 1451 and 1453.
LCM(1451,1453) = 14511×14531
LCM(1451,1453) = 2108303
Factors of 1451
List of positive integer factors of 1451 that divides 1451 without a remainder.
1, 1451
Factors of 1453
List of positive integer factors of 1453 that divides 1453 without a remainder.
1, 1453
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1451 and 1453, than apply into the LCM equation.
GCF(1451,1453) = 1
LCM(1451,1453) = ( 1451 × 1453) / 1
LCM(1451,1453) = 2108303 / 1
LCM(1451,1453) = 2108303
(i) The LCM of 1453 and 1451 is associative
LCM of 1451 and 1453 = LCM of 1453 and 1451
1. What is the LCM of 1451 and 1453?
Answer: LCM of 1451 and 1453 is 2108303.
2. What are the Factors of 1451?
Answer: Factors of 1451 are 1, 1451. There are 2 integers that are factors of 1451. The greatest factor of 1451 is 1451.
3. What are the Factors of 1453?
Answer: Factors of 1453 are 1, 1453. There are 2 integers that are factors of 1453. The greatest factor of 1453 is 1453.
4. How to Find the LCM of 1451 and 1453?
Answer:
Least Common Multiple of 1451 and 1453 = 2108303
Step 1: Find the prime factorization of 1451
1451 = 1451
Step 2: Find the prime factorization of 1453
1453 = 1453
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2108303 = 1451 x 1453
Step 4: Therefore, the least common multiple of 1451 and 1453 is 2108303.