Least Common Multiple of 470 and 474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 470 and 474 the smallest integer that is 111390 that is divisible by both numbers.

Least Common Multiple (LCM) of 470 and 474 is 111390.

LCM(470,474) = 111390

LCM of 470 and 474

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

LCM of:
and

Least Common Multiple of 470 and 474

LCM of 470 and 474 is 111390

Least common multiple can be found by multiplying the highest exponent prime factors of 470 and 474. First we will calculate the prime factors of 470 and 474.

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

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 470 and 474.

LCM(470,474) = 21×31×51×471×791
LCM(470,474) = 111390

Factors of 470

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

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

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Least Common Multiple of 470 and 474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 470 and 474, than apply into the LCM equation.

GCF(470,474) = 2
LCM(470,474) = ( 470 × 474) / 2
LCM(470,474) = 222780 / 2
LCM(470,474) = 111390

Properties of LCM 470 and 474

(i) The LCM of 474 and 470 is associative

LCM of 470 and 474 = LCM of 474 and 470

Related Least Common Multiples of 470

Related Least Common Multiples of 474

Frequently Asked Questions on LCM of 470 and 474

1. What is the LCM of 470 and 474?

Answer: LCM of 470 and 474 is 111390.

2. 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.

3. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

4. How to Find the LCM of 470 and 474?

Answer:

Least Common Multiple of 470 and 474 = 111390

Step 1: Find the prime factorization of 470

470 = 2 x 5 x 47

Step 2: Find the prime factorization of 474

474 = 2 x 3 x 79

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

LCM = 111390 = 2 x 3 x 5 x 47 x 79

Step 4: Therefore, the least common multiple of 470 and 474 is 111390.