Least Common Multiple of 469 and 470

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 470 the smallest integer that is 220430 that is divisible by both numbers.

Least Common Multiple (LCM) of 469 and 470 is 220430.

LCM(469,470) = 220430

LCM of 469 and 470

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

LCM of:
and

Least Common Multiple of 469 and 470

LCM of 469 and 470 is 220430

Least common multiple can be found by multiplying the highest exponent prime factors of 469 and 470. First we will calculate the prime factors of 469 and 470.

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 470


2 470
5 235
47 47
1

Prime factors of 470 are 2, 5,47. Prime factorization of 470 in exponential form is:

470 = 21×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 469 and 470.

LCM(469,470) = 21×51×71×471×671
LCM(469,470) = 220430

Factors of 469

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

1, 7, 67, 469

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Least Common Multiple of 469 and 470 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 470, than apply into the LCM equation.

GCF(469,470) = 1
LCM(469,470) = ( 469 × 470) / 1
LCM(469,470) = 220430 / 1
LCM(469,470) = 220430

Properties of LCM 469 and 470

(i) The LCM of 470 and 469 is associative

LCM of 469 and 470 = LCM of 470 and 469

Related Least Common Multiples of 469

Related Least Common Multiples of 470

Frequently Asked Questions on LCM of 469 and 470

1. What is the LCM of 469 and 470?

Answer: LCM of 469 and 470 is 220430.

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 470?

Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.

4. How to Find the LCM of 469 and 470?

Answer:

Least Common Multiple of 469 and 470 = 220430

Step 1: Find the prime factorization of 469

469 = 7 x 67

Step 2: Find the prime factorization of 470

470 = 2 x 5 x 47

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

LCM = 220430 = 2 x 5 x 7 x 47 x 67

Step 4: Therefore, the least common multiple of 469 and 470 is 220430.