Least Common Multiple of 471 and 473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 471 and 473 the smallest integer that is 222783 that is divisible by both numbers.

Least Common Multiple (LCM) of 471 and 473 is 222783.

LCM(471,473) = 222783

LCM of 471 and 473

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

LCM of:
and

Least Common Multiple of 471 and 473

LCM of 471 and 473 is 222783

Least common multiple can be found by multiplying the highest exponent prime factors of 471 and 473. First we will calculate the prime factors of 471 and 473.

Prime Factorization of 471


3 471
157 157
1

Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:

471 = 31×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 471 and 473.

LCM(471,473) = 31×111×431×1571
LCM(471,473) = 222783

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Factors of 473

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

1, 11, 43, 473

Least Common Multiple of 471 and 473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 471 and 473, than apply into the LCM equation.

GCF(471,473) = 1
LCM(471,473) = ( 471 × 473) / 1
LCM(471,473) = 222783 / 1
LCM(471,473) = 222783

Properties of LCM 471 and 473

(i) The LCM of 473 and 471 is associative

LCM of 471 and 473 = LCM of 473 and 471

Related Least Common Multiples of 471

Related Least Common Multiples of 473

Frequently Asked Questions on LCM of 471 and 473

1. What is the LCM of 471 and 473?

Answer: LCM of 471 and 473 is 222783.

2. What are the Factors of 471?

Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.

3. 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.

4. How to Find the LCM of 471 and 473?

Answer:

Least Common Multiple of 471 and 473 = 222783

Step 1: Find the prime factorization of 471

471 = 3 x 157

Step 2: Find the prime factorization of 473

473 = 11 x 43

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

LCM = 222783 = 3 x 11 x 43 x 157

Step 4: Therefore, the least common multiple of 471 and 473 is 222783.