Least Common Multiple of 473 and 476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 473 and 476 the smallest integer that is 225148 that is divisible by both numbers.

Least Common Multiple (LCM) of 473 and 476 is 225148.

LCM(473,476) = 225148

LCM of 473 and 476

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

LCM of:
and

Least Common Multiple of 473 and 476

LCM of 473 and 476 is 225148

Least common multiple can be found by multiplying the highest exponent prime factors of 473 and 476. First we will calculate the prime factors of 473 and 476.

Prime Factorization of 473


11 473
43 43
1

Prime factors of 473 are 11,43. Prime factorization of 473 in exponential form is:

473 = 111×431

Prime Factorization of 476


2 476
2 238
7 119
17 17
1

Prime factors of 476 are 2, 7,17. Prime factorization of 476 in exponential form is:

476 = 22×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 473 and 476.

LCM(473,476) = 22×71×111×171×431
LCM(473,476) = 225148

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Least Common Multiple of 473 and 476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 473 and 476, than apply into the LCM equation.

GCF(473,476) = 1
LCM(473,476) = ( 473 × 476) / 1
LCM(473,476) = 225148 / 1
LCM(473,476) = 225148

Properties of LCM 473 and 476

(i) The LCM of 476 and 473 is associative

LCM of 473 and 476 = LCM of 476 and 473

Related Least Common Multiples of 473

Related Least Common Multiples of 476

Frequently Asked Questions on LCM of 473 and 476

1. What is the LCM of 473 and 476?

Answer: LCM of 473 and 476 is 225148.

2. What are the Factors of 473?

Answer: Factors of 473 are 1, 11, 43, 473. There are 4 integers that are factors of 473. The greatest factor of 473 is 473.

3. What are the Factors of 476?

Answer: Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. There are 12 integers that are factors of 476. The greatest factor of 476 is 476.

4. How to Find the LCM of 473 and 476?

Answer:

Least Common Multiple of 473 and 476 = 225148

Step 1: Find the prime factorization of 473

473 = 11 x 43

Step 2: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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

LCM = 225148 = 2 x 2 x 7 x 11 x 17 x 43

Step 4: Therefore, the least common multiple of 473 and 476 is 225148.