Least Common Multiple of 472 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 472 and 475 the smallest integer that is 224200 that is divisible by both numbers.

Least Common Multiple (LCM) of 472 and 475 is 224200.

LCM(472,475) = 224200

LCM of 472 and 475

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

LCM of:
and

Least Common Multiple of 472 and 475

LCM of 472 and 475 is 224200

Least common multiple can be found by multiplying the highest exponent prime factors of 472 and 475. First we will calculate the prime factors of 472 and 475.

Prime Factorization of 472


2 472
2 236
2 118
59 59
1

Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:

472 = 23×591

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 472 and 475.

LCM(472,475) = 23×52×191×591
LCM(472,475) = 224200

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

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 472 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 472 and 475, than apply into the LCM equation.

GCF(472,475) = 1
LCM(472,475) = ( 472 × 475) / 1
LCM(472,475) = 224200 / 1
LCM(472,475) = 224200

Properties of LCM 472 and 475

(i) The LCM of 475 and 472 is associative

LCM of 472 and 475 = LCM of 475 and 472

Related Least Common Multiples of 472

Related Least Common Multiples of 475

Frequently Asked Questions on LCM of 472 and 475

1. What is the LCM of 472 and 475?

Answer: LCM of 472 and 475 is 224200.

2. What are the Factors of 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

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 472 and 475?

Answer:

Least Common Multiple of 472 and 475 = 224200

Step 1: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

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 = 224200 = 2 x 2 x 2 x 5 x 5 x 19 x 59

Step 4: Therefore, the least common multiple of 472 and 475 is 224200.