Least Common Multiple of 469 and 477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 469 and 477 the smallest integer that is 223713 that is divisible by both numbers.

Least Common Multiple (LCM) of 469 and 477 is 223713.

LCM(469,477) = 223713

LCM of 469 and 477

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

LCM of:
and

Least Common Multiple of 469 and 477

LCM of 469 and 477 is 223713

Least common multiple can be found by multiplying the highest exponent prime factors of 469 and 477. First we will calculate the prime factors of 469 and 477.

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

Prime Factorization of 477


3 477
3 159
53 53
1

Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:

477 = 32×531

Now multiplying the highest exponent prime factors to calculate the LCM of 469 and 477.

LCM(469,477) = 32×71×531×671
LCM(469,477) = 223713

Factors of 469

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

1, 7, 67, 469

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Least Common Multiple of 469 and 477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 469 and 477, than apply into the LCM equation.

GCF(469,477) = 1
LCM(469,477) = ( 469 × 477) / 1
LCM(469,477) = 223713 / 1
LCM(469,477) = 223713

Properties of LCM 469 and 477

(i) The LCM of 477 and 469 is associative

LCM of 469 and 477 = LCM of 477 and 469

Related Least Common Multiples of 469

Related Least Common Multiples of 477

Frequently Asked Questions on LCM of 469 and 477

1. What is the LCM of 469 and 477?

Answer: LCM of 469 and 477 is 223713.

2. 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.

3. What are the Factors of 477?

Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.

4. How to Find the LCM of 469 and 477?

Answer:

Least Common Multiple of 469 and 477 = 223713

Step 1: Find the prime factorization of 469

469 = 7 x 67

Step 2: Find the prime factorization of 477

477 = 3 x 3 x 53

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

LCM = 223713 = 3 x 3 x 7 x 53 x 67

Step 4: Therefore, the least common multiple of 469 and 477 is 223713.