Least Common Multiple of 463 and 471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 463 and 471 the smallest integer that is 218073 that is divisible by both numbers.

Least Common Multiple (LCM) of 463 and 471 is 218073.

LCM(463,471) = 218073

LCM of 463 and 471

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

LCM of:
and

Least Common Multiple of 463 and 471

LCM of 463 and 471 is 218073

Least common multiple can be found by multiplying the highest exponent prime factors of 463 and 471. First we will calculate the prime factors of 463 and 471.

Prime Factorization of 463


463 463
1

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 463 and 471.

LCM(463,471) = 31×1571×4631
LCM(463,471) = 218073

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1, 463

Factors of 471

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

1, 3, 157, 471

Least Common Multiple of 463 and 471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 463 and 471, than apply into the LCM equation.

GCF(463,471) = 1
LCM(463,471) = ( 463 × 471) / 1
LCM(463,471) = 218073 / 1
LCM(463,471) = 218073

Properties of LCM 463 and 471

(i) The LCM of 471 and 463 is associative

LCM of 463 and 471 = LCM of 471 and 463

Related Least Common Multiples of 463

Related Least Common Multiples of 471

Frequently Asked Questions on LCM of 463 and 471

1. What is the LCM of 463 and 471?

Answer: LCM of 463 and 471 is 218073.

2. What are the Factors of 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

3. 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.

4. How to Find the LCM of 463 and 471?

Answer:

Least Common Multiple of 463 and 471 = 218073

Step 1: Find the prime factorization of 463

463 = 463

Step 2: Find the prime factorization of 471

471 = 3 x 157

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

LCM = 218073 = 3 x 157 x 463

Step 4: Therefore, the least common multiple of 463 and 471 is 218073.