Least Common Multiple of 475 and 479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 475 and 479 the smallest integer that is 227525 that is divisible by both numbers.

Least Common Multiple (LCM) of 475 and 479 is 227525.

LCM(475,479) = 227525

LCM of 475 and 479

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

LCM of:
and

Least Common Multiple of 475 and 479

LCM of 475 and 479 is 227525

Least common multiple can be found by multiplying the highest exponent prime factors of 475 and 479. First we will calculate the prime factors of 475 and 479.

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

Prime Factorization of 479


479 479
1

Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:

479 = 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 475 and 479.

LCM(475,479) = 52×191×4791
LCM(475,479) = 227525

Factors of 475

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

1, 5, 19, 25, 95, 475

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1, 479

Least Common Multiple of 475 and 479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 475 and 479, than apply into the LCM equation.

GCF(475,479) = 1
LCM(475,479) = ( 475 × 479) / 1
LCM(475,479) = 227525 / 1
LCM(475,479) = 227525

Properties of LCM 475 and 479

(i) The LCM of 479 and 475 is associative

LCM of 475 and 479 = LCM of 479 and 475

Related Least Common Multiples of 475

Related Least Common Multiples of 479

Frequently Asked Questions on LCM of 475 and 479

1. What is the LCM of 475 and 479?

Answer: LCM of 475 and 479 is 227525.

2. 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.

3. What are the Factors of 479?

Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.

4. How to Find the LCM of 475 and 479?

Answer:

Least Common Multiple of 475 and 479 = 227525

Step 1: Find the prime factorization of 475

475 = 5 x 5 x 19

Step 2: Find the prime factorization of 479

479 = 479

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

LCM = 227525 = 5 x 5 x 19 x 479

Step 4: Therefore, the least common multiple of 475 and 479 is 227525.