Least Common Multiple of 457 and 463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 457 and 463 the smallest integer that is 211591 that is divisible by both numbers.

Least Common Multiple (LCM) of 457 and 463 is 211591.

LCM(457,463) = 211591

LCM of 457 and 463

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 457 and 463

LCM of 457 and 463 is 211591

Least common multiple can be found by multiplying the highest exponent prime factors of 457 and 463. First we will calculate the prime factors of 457 and 463.

Prime Factorization of 457


457 457
1

Prime factors of 457 are 457. Prime factorization of 457 in exponential form is:

457 = 4571

Prime Factorization of 463


463 463
1

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 457 and 463.

LCM(457,463) = 4571×4631
LCM(457,463) = 211591

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1, 457

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1, 463

Least Common Multiple of 457 and 463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 457 and 463, than apply into the LCM equation.

GCF(457,463) = 1
LCM(457,463) = ( 457 × 463) / 1
LCM(457,463) = 211591 / 1
LCM(457,463) = 211591

Properties of LCM 457 and 463

(i) The LCM of 463 and 457 is associative

LCM of 457 and 463 = LCM of 463 and 457

Related Least Common Multiples of 457

Related Least Common Multiples of 463

Frequently Asked Questions on LCM of 457 and 463

1. What is the LCM of 457 and 463?

Answer: LCM of 457 and 463 is 211591.

2. 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.

3. What are the Factors of 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

4. How to Find the LCM of 457 and 463?

Answer:

Least Common Multiple of 457 and 463 = 211591

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 463

463 = 463

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 211591 = 457 x 463

Step 4: Therefore, the least common multiple of 457 and 463 is 211591.