Least Common Multiple of 465 and 466

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 466 the smallest integer that is 216690 that is divisible by both numbers.

Least Common Multiple (LCM) of 465 and 466 is 216690.

LCM(465,466) = 216690

LCM of 465 and 466

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

LCM of:
and

Least Common Multiple of 465 and 466

LCM of 465 and 466 is 216690

Least common multiple can be found by multiplying the highest exponent prime factors of 465 and 466. First we will calculate the prime factors of 465 and 466.

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 466


2 466
233 233
1

Prime factors of 466 are 2,233. Prime factorization of 466 in exponential form is:

466 = 21×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 465 and 466.

LCM(465,466) = 21×31×51×311×2331
LCM(465,466) = 216690

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 466

List of positive integer factors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Least Common Multiple of 465 and 466 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 466, than apply into the LCM equation.

GCF(465,466) = 1
LCM(465,466) = ( 465 × 466) / 1
LCM(465,466) = 216690 / 1
LCM(465,466) = 216690

Properties of LCM 465 and 466

(i) The LCM of 466 and 465 is associative

LCM of 465 and 466 = LCM of 466 and 465

Related Least Common Multiples of 465

Related Least Common Multiples of 466

Frequently Asked Questions on LCM of 465 and 466

1. What is the LCM of 465 and 466?

Answer: LCM of 465 and 466 is 216690.

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 466?

Answer: Factors of 466 are 1, 2, 233, 466. There are 4 integers that are factors of 466. The greatest factor of 466 is 466.

4. How to Find the LCM of 465 and 466?

Answer:

Least Common Multiple of 465 and 466 = 216690

Step 1: Find the prime factorization of 465

465 = 3 x 5 x 31

Step 2: Find the prime factorization of 466

466 = 2 x 233

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

LCM = 216690 = 2 x 3 x 5 x 31 x 233

Step 4: Therefore, the least common multiple of 465 and 466 is 216690.