Least Common Multiple of 464 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 464 and 470 the smallest integer that is 109040 that is divisible by both numbers.

Least Common Multiple (LCM) of 464 and 470 is 109040.

LCM(464,470) = 109040

LCM of 464 and 470

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

LCM of:
and

Least Common Multiple of 464 and 470

LCM of 464 and 470 is 109040

Least common multiple can be found by multiplying the highest exponent prime factors of 464 and 470. First we will calculate the prime factors of 464 and 470.

Prime Factorization of 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

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 464 and 470.

LCM(464,470) = 24×51×291×471
LCM(464,470) = 109040

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 464 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 464 and 470, than apply into the LCM equation.

GCF(464,470) = 2
LCM(464,470) = ( 464 × 470) / 2
LCM(464,470) = 218080 / 2
LCM(464,470) = 109040

Properties of LCM 464 and 470

(i) The LCM of 470 and 464 is associative

LCM of 464 and 470 = LCM of 470 and 464

Related Least Common Multiples of 464

Related Least Common Multiples of 470

Frequently Asked Questions on LCM of 464 and 470

1. What is the LCM of 464 and 470?

Answer: LCM of 464 and 470 is 109040.

2. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

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 464 and 470?

Answer:

Least Common Multiple of 464 and 470 = 109040

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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 = 109040 = 2 x 2 x 2 x 2 x 5 x 29 x 47

Step 4: Therefore, the least common multiple of 464 and 470 is 109040.