Least Common Multiple of 466 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 466 and 467 the smallest integer that is 217622 that is divisible by both numbers.

Least Common Multiple (LCM) of 466 and 467 is 217622.

LCM(466,467) = 217622

LCM of 466 and 467

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

LCM of:
and

Least Common Multiple of 466 and 467

LCM of 466 and 467 is 217622

Least common multiple can be found by multiplying the highest exponent prime factors of 466 and 467. First we will calculate the prime factors of 466 and 467.

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

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 466 and 467.

LCM(466,467) = 21×2331×4671
LCM(466,467) = 217622

Factors of 466

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

1, 2, 233, 466

Factors of 467

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

1, 467

Least Common Multiple of 466 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 466 and 467, than apply into the LCM equation.

GCF(466,467) = 1
LCM(466,467) = ( 466 × 467) / 1
LCM(466,467) = 217622 / 1
LCM(466,467) = 217622

Properties of LCM 466 and 467

(i) The LCM of 467 and 466 is associative

LCM of 466 and 467 = LCM of 467 and 466

Related Least Common Multiples of 466

Related Least Common Multiples of 467

Frequently Asked Questions on LCM of 466 and 467

1. What is the LCM of 466 and 467?

Answer: LCM of 466 and 467 is 217622.

2. 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.

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 466 and 467?

Answer:

Least Common Multiple of 466 and 467 = 217622

Step 1: Find the prime factorization of 466

466 = 2 x 233

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 = 217622 = 2 x 233 x 467

Step 4: Therefore, the least common multiple of 466 and 467 is 217622.