Least Common Multiple of 457 and 465

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 465 the smallest integer that is 212505 that is divisible by both numbers.

Least Common Multiple (LCM) of 457 and 465 is 212505.

LCM(457,465) = 212505

LCM of 457 and 465

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

LCM of:
and

Least Common Multiple of 457 and 465

LCM of 457 and 465 is 212505

Least common multiple can be found by multiplying the highest exponent prime factors of 457 and 465. First we will calculate the prime factors of 457 and 465.

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 465


3 465
5 155
31 31
1

Prime factors of 465 are 3, 5,31. Prime factorization of 465 in exponential form is:

465 = 31×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 457 and 465.

LCM(457,465) = 31×51×311×4571
LCM(457,465) = 212505

Factors of 457

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

1, 457

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Least Common Multiple of 457 and 465 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 465, than apply into the LCM equation.

GCF(457,465) = 1
LCM(457,465) = ( 457 × 465) / 1
LCM(457,465) = 212505 / 1
LCM(457,465) = 212505

Properties of LCM 457 and 465

(i) The LCM of 465 and 457 is associative

LCM of 457 and 465 = LCM of 465 and 457

Related Least Common Multiples of 457

Related Least Common Multiples of 465

Frequently Asked Questions on LCM of 457 and 465

1. What is the LCM of 457 and 465?

Answer: LCM of 457 and 465 is 212505.

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 465?

Answer: Factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465. There are 8 integers that are factors of 465. The greatest factor of 465 is 465.

4. How to Find the LCM of 457 and 465?

Answer:

Least Common Multiple of 457 and 465 = 212505

Step 1: Find the prime factorization of 457

457 = 457

Step 2: Find the prime factorization of 465

465 = 3 x 5 x 31

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

LCM = 212505 = 3 x 5 x 31 x 457

Step 4: Therefore, the least common multiple of 457 and 465 is 212505.