Least Common Multiple of 469 and 475

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 475 the smallest integer that is 222775 that is divisible by both numbers.

Least Common Multiple (LCM) of 469 and 475 is 222775.

LCM(469,475) = 222775

LCM of 469 and 475

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

LCM of:
and

Least Common Multiple of 469 and 475

LCM of 469 and 475 is 222775

Least common multiple can be found by multiplying the highest exponent prime factors of 469 and 475. First we will calculate the prime factors of 469 and 475.

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 475


5 475
5 95
19 19
1

Prime factors of 475 are 5,19. Prime factorization of 475 in exponential form is:

475 = 52×191

Now multiplying the highest exponent prime factors to calculate the LCM of 469 and 475.

LCM(469,475) = 52×71×191×671
LCM(469,475) = 222775

Factors of 469

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

1, 7, 67, 469

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Least Common Multiple of 469 and 475 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 475, than apply into the LCM equation.

GCF(469,475) = 1
LCM(469,475) = ( 469 × 475) / 1
LCM(469,475) = 222775 / 1
LCM(469,475) = 222775

Properties of LCM 469 and 475

(i) The LCM of 475 and 469 is associative

LCM of 469 and 475 = LCM of 475 and 469

Related Least Common Multiples of 469

Related Least Common Multiples of 475

Frequently Asked Questions on LCM of 469 and 475

1. What is the LCM of 469 and 475?

Answer: LCM of 469 and 475 is 222775.

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 475?

Answer: Factors of 475 are 1, 5, 19, 25, 95, 475. There are 6 integers that are factors of 475. The greatest factor of 475 is 475.

4. How to Find the LCM of 469 and 475?

Answer:

Least Common Multiple of 469 and 475 = 222775

Step 1: Find the prime factorization of 469

469 = 7 x 67

Step 2: Find the prime factorization of 475

475 = 5 x 5 x 19

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

LCM = 222775 = 5 x 5 x 7 x 19 x 67

Step 4: Therefore, the least common multiple of 469 and 475 is 222775.