Least Common Multiple of 467 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 467 and 470 the smallest integer that is 219490 that is divisible by both numbers.

Least Common Multiple (LCM) of 467 and 470 is 219490.

LCM(467,470) = 219490

LCM of 467 and 470

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

LCM of:
and

Least Common Multiple of 467 and 470

LCM of 467 and 470 is 219490

Least common multiple can be found by multiplying the highest exponent prime factors of 467 and 470. First we will calculate the prime factors of 467 and 470.

Prime Factorization of 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

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 467 and 470.

LCM(467,470) = 21×51×471×4671
LCM(467,470) = 219490

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1, 467

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 467 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 467 and 470, than apply into the LCM equation.

GCF(467,470) = 1
LCM(467,470) = ( 467 × 470) / 1
LCM(467,470) = 219490 / 1
LCM(467,470) = 219490

Properties of LCM 467 and 470

(i) The LCM of 470 and 467 is associative

LCM of 467 and 470 = LCM of 470 and 467

Related Least Common Multiples of 467

Related Least Common Multiples of 470

Frequently Asked Questions on LCM of 467 and 470

1. What is the LCM of 467 and 470?

Answer: LCM of 467 and 470 is 219490.

2. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

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 467 and 470?

Answer:

Least Common Multiple of 467 and 470 = 219490

Step 1: Find the prime factorization of 467

467 = 467

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 = 219490 = 2 x 5 x 47 x 467

Step 4: Therefore, the least common multiple of 467 and 470 is 219490.