Least Common Multiple of 457 and 462

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 462 the smallest integer that is 211134 that is divisible by both numbers.

Least Common Multiple (LCM) of 457 and 462 is 211134.

LCM(457,462) = 211134

LCM of 457 and 462

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

LCM of:
and

Least Common Multiple of 457 and 462

LCM of 457 and 462 is 211134

Least common multiple can be found by multiplying the highest exponent prime factors of 457 and 462. First we will calculate the prime factors of 457 and 462.

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 462


2 462
3 231
7 77
11 11
1

Prime factors of 462 are 2, 3, 7,11. Prime factorization of 462 in exponential form is:

462 = 21×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 457 and 462.

LCM(457,462) = 21×31×71×111×4571
LCM(457,462) = 211134

Factors of 457

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

1, 457

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Least Common Multiple of 457 and 462 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 462, than apply into the LCM equation.

GCF(457,462) = 1
LCM(457,462) = ( 457 × 462) / 1
LCM(457,462) = 211134 / 1
LCM(457,462) = 211134

Properties of LCM 457 and 462

(i) The LCM of 462 and 457 is associative

LCM of 457 and 462 = LCM of 462 and 457

Related Least Common Multiples of 457

Related Least Common Multiples of 462

Frequently Asked Questions on LCM of 457 and 462

1. What is the LCM of 457 and 462?

Answer: LCM of 457 and 462 is 211134.

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 462?

Answer: Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. There are 16 integers that are factors of 462. The greatest factor of 462 is 462.

4. How to Find the LCM of 457 and 462?

Answer:

Least Common Multiple of 457 and 462 = 211134

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

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

LCM = 211134 = 2 x 3 x 7 x 11 x 457

Step 4: Therefore, the least common multiple of 457 and 462 is 211134.