Least Common Multiple of 469 and 471

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 471 the smallest integer that is 220899 that is divisible by both numbers.

Least Common Multiple (LCM) of 469 and 471 is 220899.

LCM(469,471) = 220899

LCM of 469 and 471

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

LCM of:
and

Least Common Multiple of 469 and 471

LCM of 469 and 471 is 220899

Least common multiple can be found by multiplying the highest exponent prime factors of 469 and 471. First we will calculate the prime factors of 469 and 471.

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 471


3 471
157 157
1

Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:

471 = 31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 469 and 471.

LCM(469,471) = 31×71×671×1571
LCM(469,471) = 220899

Factors of 469

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

1, 7, 67, 469

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Least Common Multiple of 469 and 471 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 471, than apply into the LCM equation.

GCF(469,471) = 1
LCM(469,471) = ( 469 × 471) / 1
LCM(469,471) = 220899 / 1
LCM(469,471) = 220899

Properties of LCM 469 and 471

(i) The LCM of 471 and 469 is associative

LCM of 469 and 471 = LCM of 471 and 469

Related Least Common Multiples of 469

Related Least Common Multiples of 471

Frequently Asked Questions on LCM of 469 and 471

1. What is the LCM of 469 and 471?

Answer: LCM of 469 and 471 is 220899.

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 471?

Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.

4. How to Find the LCM of 469 and 471?

Answer:

Least Common Multiple of 469 and 471 = 220899

Step 1: Find the prime factorization of 469

469 = 7 x 67

Step 2: Find the prime factorization of 471

471 = 3 x 157

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

LCM = 220899 = 3 x 7 x 67 x 157

Step 4: Therefore, the least common multiple of 469 and 471 is 220899.