Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 458 and 461 the smallest integer that is 211138 that is divisible by both numbers.
Least Common Multiple (LCM) of 458 and 461 is 211138.
LCM(458,461) = 211138
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 458 and 461. First we will calculate the prime factors of 458 and 461.
Prime Factorization of 458
2 | 458 |
229 | 229 |
1 |
Prime factors of 458 are 2,229. Prime factorization of 458 in exponential form is:
458 = 21×2291
Prime Factorization of 461
461 | 461 |
1 |
Prime factors of 461 are 461. Prime factorization of 461 in exponential form is:
461 = 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 458 and 461.
LCM(458,461) = 21×2291×4611
LCM(458,461) = 211138
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1, 461
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 458 and 461, than apply into the LCM equation.
GCF(458,461) = 1
LCM(458,461) = ( 458 × 461) / 1
LCM(458,461) = 211138 / 1
LCM(458,461) = 211138
(i) The LCM of 461 and 458 is associative
LCM of 458 and 461 = LCM of 461 and 458
1. What is the LCM of 458 and 461?
Answer: LCM of 458 and 461 is 211138.
2. What are the Factors of 458?
Answer: Factors of 458 are 1, 2, 229, 458. There are 4 integers that are factors of 458. The greatest factor of 458 is 458.
3. What are the Factors of 461?
Answer: Factors of 461 are 1, 461. There are 2 integers that are factors of 461. The greatest factor of 461 is 461.
4. How to Find the LCM of 458 and 461?
Answer:
Least Common Multiple of 458 and 461 = 211138
Step 1: Find the prime factorization of 458
458 = 2 x 229
Step 2: Find the prime factorization of 461
461 = 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 211138 = 2 x 229 x 461
Step 4: Therefore, the least common multiple of 458 and 461 is 211138.