Least Common Multiple of 466 and 469

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 469 the smallest integer that is 218554 that is divisible by both numbers.

Least Common Multiple (LCM) of 466 and 469 is 218554.

LCM(466,469) = 218554

LCM of 466 and 469

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

LCM of:
and

Least Common Multiple of 466 and 469

LCM of 466 and 469 is 218554

Least common multiple can be found by multiplying the highest exponent prime factors of 466 and 469. First we will calculate the prime factors of 466 and 469.

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 469


7 469
67 67
1

Prime factors of 469 are 7,67. Prime factorization of 469 in exponential form is:

469 = 71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 466 and 469.

LCM(466,469) = 21×71×671×2331
LCM(466,469) = 218554

Factors of 466

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

1, 2, 233, 466

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Least Common Multiple of 466 and 469 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 469, than apply into the LCM equation.

GCF(466,469) = 1
LCM(466,469) = ( 466 × 469) / 1
LCM(466,469) = 218554 / 1
LCM(466,469) = 218554

Properties of LCM 466 and 469

(i) The LCM of 469 and 466 is associative

LCM of 466 and 469 = LCM of 469 and 466

Related Least Common Multiples of 466

Related Least Common Multiples of 469

Frequently Asked Questions on LCM of 466 and 469

1. What is the LCM of 466 and 469?

Answer: LCM of 466 and 469 is 218554.

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 469?

Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.

4. How to Find the LCM of 466 and 469?

Answer:

Least Common Multiple of 466 and 469 = 218554

Step 1: Find the prime factorization of 466

466 = 2 x 233

Step 2: Find the prime factorization of 469

469 = 7 x 67

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

LCM = 218554 = 2 x 7 x 67 x 233

Step 4: Therefore, the least common multiple of 466 and 469 is 218554.