Least Common Multiple of 468 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 468 and 475 the smallest integer that is 222300 that is divisible by both numbers.

Least Common Multiple (LCM) of 468 and 475 is 222300.

LCM(468,475) = 222300

LCM of 468 and 475

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

LCM of:
and

Least Common Multiple of 468 and 475

LCM of 468 and 475 is 222300

Least common multiple can be found by multiplying the highest exponent prime factors of 468 and 475. First we will calculate the prime factors of 468 and 475.

Prime Factorization of 468


2 468
2 234
3 117
3 39
13 13
1

Prime factors of 468 are 2, 3,13. Prime factorization of 468 in exponential form is:

468 = 22×32×131

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 468 and 475.

LCM(468,475) = 22×32×52×131×191
LCM(468,475) = 222300

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 468 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 468 and 475, than apply into the LCM equation.

GCF(468,475) = 1
LCM(468,475) = ( 468 × 475) / 1
LCM(468,475) = 222300 / 1
LCM(468,475) = 222300

Properties of LCM 468 and 475

(i) The LCM of 475 and 468 is associative

LCM of 468 and 475 = LCM of 475 and 468

Related Least Common Multiples of 468

Related Least Common Multiples of 475

Frequently Asked Questions on LCM of 468 and 475

1. What is the LCM of 468 and 475?

Answer: LCM of 468 and 475 is 222300.

2. What are the Factors of 468?

Answer: Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. There are 18 integers that are factors of 468. The greatest factor of 468 is 468.

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 468 and 475?

Answer:

Least Common Multiple of 468 and 475 = 222300

Step 1: Find the prime factorization of 468

468 = 2 x 2 x 3 x 3 x 13

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 = 222300 = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 19

Step 4: Therefore, the least common multiple of 468 and 475 is 222300.