Least Common Multiple of 465 and 467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 465 and 467 the smallest integer that is 217155 that is divisible by both numbers.

Least Common Multiple (LCM) of 465 and 467 is 217155.

LCM(465,467) = 217155

LCM of 465 and 467

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

LCM of:
and

Least Common Multiple of 465 and 467

LCM of 465 and 467 is 217155

Least common multiple can be found by multiplying the highest exponent prime factors of 465 and 467. First we will calculate the prime factors of 465 and 467.

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

Prime Factorization of 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 465 and 467.

LCM(465,467) = 31×51×311×4671
LCM(465,467) = 217155

Factors of 465

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

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

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1, 467

Least Common Multiple of 465 and 467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 465 and 467, than apply into the LCM equation.

GCF(465,467) = 1
LCM(465,467) = ( 465 × 467) / 1
LCM(465,467) = 217155 / 1
LCM(465,467) = 217155

Properties of LCM 465 and 467

(i) The LCM of 467 and 465 is associative

LCM of 465 and 467 = LCM of 467 and 465

Related Least Common Multiples of 465

Related Least Common Multiples of 467

Frequently Asked Questions on LCM of 465 and 467

1. What is the LCM of 465 and 467?

Answer: LCM of 465 and 467 is 217155.

2. 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.

3. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

4. How to Find the LCM of 465 and 467?

Answer:

Least Common Multiple of 465 and 467 = 217155

Step 1: Find the prime factorization of 465

465 = 3 x 5 x 31

Step 2: Find the prime factorization of 467

467 = 467

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

LCM = 217155 = 3 x 5 x 31 x 467

Step 4: Therefore, the least common multiple of 465 and 467 is 217155.