Least Common Multiple of 467 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 467 and 475 the smallest integer that is 221825 that is divisible by both numbers.

Least Common Multiple (LCM) of 467 and 475 is 221825.

LCM(467,475) = 221825

LCM of 467 and 475

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

LCM of:
and

Least Common Multiple of 467 and 475

LCM of 467 and 475 is 221825

Least common multiple can be found by multiplying the highest exponent prime factors of 467 and 475. First we will calculate the prime factors of 467 and 475.

Prime Factorization of 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

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 467 and 475.

LCM(467,475) = 52×191×4671
LCM(467,475) = 221825

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1, 467

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 467 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 467 and 475, than apply into the LCM equation.

GCF(467,475) = 1
LCM(467,475) = ( 467 × 475) / 1
LCM(467,475) = 221825 / 1
LCM(467,475) = 221825

Properties of LCM 467 and 475

(i) The LCM of 475 and 467 is associative

LCM of 467 and 475 = LCM of 475 and 467

Related Least Common Multiples of 467

Related Least Common Multiples of 475

Frequently Asked Questions on LCM of 467 and 475

1. What is the LCM of 467 and 475?

Answer: LCM of 467 and 475 is 221825.

2. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

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 467 and 475?

Answer:

Least Common Multiple of 467 and 475 = 221825

Step 1: Find the prime factorization of 467

467 = 467

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 = 221825 = 5 x 5 x 19 x 467

Step 4: Therefore, the least common multiple of 467 and 475 is 221825.