Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 454 and 457 the smallest integer that is 207478 that is divisible by both numbers.
Least Common Multiple (LCM) of 454 and 457 is 207478.
LCM(454,457) = 207478
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 454 and 457. First we will calculate the prime factors of 454 and 457.
Prime Factorization of 454
2 | 454 |
227 | 227 |
1 |
Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:
454 = 21×2271
Prime Factorization of 457
457 | 457 |
1 |
Prime factors of 457 are 457. Prime factorization of 457 in exponential form is:
457 = 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 454 and 457.
LCM(454,457) = 21×2271×4571
LCM(454,457) = 207478
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1, 457
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 454 and 457, than apply into the LCM equation.
GCF(454,457) = 1
LCM(454,457) = ( 454 × 457) / 1
LCM(454,457) = 207478 / 1
LCM(454,457) = 207478
(i) The LCM of 457 and 454 is associative
LCM of 454 and 457 = LCM of 457 and 454
1. What is the LCM of 454 and 457?
Answer: LCM of 454 and 457 is 207478.
2. What are the Factors of 454?
Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.
3. What are the Factors of 457?
Answer: Factors of 457 are 1, 457. There are 2 integers that are factors of 457. The greatest factor of 457 is 457.
4. How to Find the LCM of 454 and 457?
Answer:
Least Common Multiple of 454 and 457 = 207478
Step 1: Find the prime factorization of 454
454 = 2 x 227
Step 2: Find the prime factorization of 457
457 = 457
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 207478 = 2 x 227 x 457
Step 4: Therefore, the least common multiple of 454 and 457 is 207478.