Least Common Multiple of 463 and 470

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 470 the smallest integer that is 217610 that is divisible by both numbers.

Least Common Multiple (LCM) of 463 and 470 is 217610.

LCM(463,470) = 217610

LCM of 463 and 470

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

LCM of:
and

Least Common Multiple of 463 and 470

LCM of 463 and 470 is 217610

Least common multiple can be found by multiplying the highest exponent prime factors of 463 and 470. First we will calculate the prime factors of 463 and 470.

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 470


2 470
5 235
47 47
1

Prime factors of 470 are 2, 5,47. Prime factorization of 470 in exponential form is:

470 = 21×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 463 and 470.

LCM(463,470) = 21×51×471×4631
LCM(463,470) = 217610

Factors of 463

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

1, 463

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Least Common Multiple of 463 and 470 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 470, than apply into the LCM equation.

GCF(463,470) = 1
LCM(463,470) = ( 463 × 470) / 1
LCM(463,470) = 217610 / 1
LCM(463,470) = 217610

Properties of LCM 463 and 470

(i) The LCM of 470 and 463 is associative

LCM of 463 and 470 = LCM of 470 and 463

Related Least Common Multiples of 463

Related Least Common Multiples of 470

Frequently Asked Questions on LCM of 463 and 470

1. What is the LCM of 463 and 470?

Answer: LCM of 463 and 470 is 217610.

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 470?

Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.

4. How to Find the LCM of 463 and 470?

Answer:

Least Common Multiple of 463 and 470 = 217610

Step 1: Find the prime factorization of 463

463 = 463

Step 2: Find the prime factorization of 470

470 = 2 x 5 x 47

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

LCM = 217610 = 2 x 5 x 47 x 463

Step 4: Therefore, the least common multiple of 463 and 470 is 217610.