Least Common Multiple of 464 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 464 and 465 the smallest integer that is 215760 that is divisible by both numbers.

Least Common Multiple (LCM) of 464 and 465 is 215760.

LCM(464,465) = 215760

LCM of 464 and 465

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

LCM of:
and

Least Common Multiple of 464 and 465

LCM of 464 and 465 is 215760

Least common multiple can be found by multiplying the highest exponent prime factors of 464 and 465. First we will calculate the prime factors of 464 and 465.

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

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 464 and 465.

LCM(464,465) = 24×31×51×291×311
LCM(464,465) = 215760

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

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 464 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 464 and 465, than apply into the LCM equation.

GCF(464,465) = 1
LCM(464,465) = ( 464 × 465) / 1
LCM(464,465) = 215760 / 1
LCM(464,465) = 215760

Properties of LCM 464 and 465

(i) The LCM of 465 and 464 is associative

LCM of 464 and 465 = LCM of 465 and 464

Related Least Common Multiples of 464

Related Least Common Multiples of 465

Frequently Asked Questions on LCM of 464 and 465

1. What is the LCM of 464 and 465?

Answer: LCM of 464 and 465 is 215760.

2. 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.

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 464 and 465?

Answer:

Least Common Multiple of 464 and 465 = 215760

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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 = 215760 = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 31

Step 4: Therefore, the least common multiple of 464 and 465 is 215760.