Least Common Multiple of 466 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 466 and 470 the smallest integer that is 109510 that is divisible by both numbers.

Least Common Multiple (LCM) of 466 and 470 is 109510.

LCM(466,470) = 109510

LCM of 466 and 470

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

LCM of:
and

Least Common Multiple of 466 and 470

LCM of 466 and 470 is 109510

Least common multiple can be found by multiplying the highest exponent prime factors of 466 and 470. First we will calculate the prime factors of 466 and 470.

Prime Factorization of 466


2 466
233 233
1

Prime factors of 466 are 2,233. Prime factorization of 466 in exponential form is:

466 = 21×2331

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 466 and 470.

LCM(466,470) = 21×51×471×2331
LCM(466,470) = 109510

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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 466 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 466 and 470, than apply into the LCM equation.

GCF(466,470) = 2
LCM(466,470) = ( 466 × 470) / 2
LCM(466,470) = 219020 / 2
LCM(466,470) = 109510

Properties of LCM 466 and 470

(i) The LCM of 470 and 466 is associative

LCM of 466 and 470 = LCM of 470 and 466

Related Least Common Multiples of 466

Related Least Common Multiples of 470

Frequently Asked Questions on LCM of 466 and 470

1. What is the LCM of 466 and 470?

Answer: LCM of 466 and 470 is 109510.

2. What are the Factors of 466?

Answer: Factors of 466 are 1, 2, 233, 466. There are 4 integers that are factors of 466. The greatest factor of 466 is 466.

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 466 and 470?

Answer:

Least Common Multiple of 466 and 470 = 109510

Step 1: Find the prime factorization of 466

466 = 2 x 233

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 = 109510 = 2 x 5 x 47 x 233

Step 4: Therefore, the least common multiple of 466 and 470 is 109510.