Least Common Multiple of 457 and 464

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 464 the smallest integer that is 212048 that is divisible by both numbers.

Least Common Multiple (LCM) of 457 and 464 is 212048.

LCM(457,464) = 212048

LCM of 457 and 464

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

LCM of:
and

Least Common Multiple of 457 and 464

LCM of 457 and 464 is 212048

Least common multiple can be found by multiplying the highest exponent prime factors of 457 and 464. First we will calculate the prime factors of 457 and 464.

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 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

Now multiplying the highest exponent prime factors to calculate the LCM of 457 and 464.

LCM(457,464) = 24×291×4571
LCM(457,464) = 212048

Factors of 457

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

1, 457

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Least Common Multiple of 457 and 464 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 464, than apply into the LCM equation.

GCF(457,464) = 1
LCM(457,464) = ( 457 × 464) / 1
LCM(457,464) = 212048 / 1
LCM(457,464) = 212048

Properties of LCM 457 and 464

(i) The LCM of 464 and 457 is associative

LCM of 457 and 464 = LCM of 464 and 457

Related Least Common Multiples of 457

Related Least Common Multiples of 464

Frequently Asked Questions on LCM of 457 and 464

1. What is the LCM of 457 and 464?

Answer: LCM of 457 and 464 is 212048.

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 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

4. How to Find the LCM of 457 and 464?

Answer:

Least Common Multiple of 457 and 464 = 212048

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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

LCM = 212048 = 2 x 2 x 2 x 2 x 29 x 457

Step 4: Therefore, the least common multiple of 457 and 464 is 212048.