Least Common Multiple of 474 and 477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 474 and 477 the smallest integer that is 75366 that is divisible by both numbers.

Least Common Multiple (LCM) of 474 and 477 is 75366.

LCM(474,477) = 75366

LCM of 474 and 477

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

LCM of:
and

Least Common Multiple of 474 and 477

LCM of 474 and 477 is 75366

Least common multiple can be found by multiplying the highest exponent prime factors of 474 and 477. First we will calculate the prime factors of 474 and 477.

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

Prime Factorization of 477


3 477
3 159
53 53
1

Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:

477 = 32×531

Now multiplying the highest exponent prime factors to calculate the LCM of 474 and 477.

LCM(474,477) = 21×32×531×791
LCM(474,477) = 75366

Factors of 474

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

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

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Least Common Multiple of 474 and 477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 474 and 477, than apply into the LCM equation.

GCF(474,477) = 3
LCM(474,477) = ( 474 × 477) / 3
LCM(474,477) = 226098 / 3
LCM(474,477) = 75366

Properties of LCM 474 and 477

(i) The LCM of 477 and 474 is associative

LCM of 474 and 477 = LCM of 477 and 474

Related Least Common Multiples of 474

Related Least Common Multiples of 477

Frequently Asked Questions on LCM of 474 and 477

1. What is the LCM of 474 and 477?

Answer: LCM of 474 and 477 is 75366.

2. 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.

3. What are the Factors of 477?

Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.

4. How to Find the LCM of 474 and 477?

Answer:

Least Common Multiple of 474 and 477 = 75366

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

Step 2: Find the prime factorization of 477

477 = 3 x 3 x 53

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

LCM = 75366 = 2 x 3 x 3 x 53 x 79

Step 4: Therefore, the least common multiple of 474 and 477 is 75366.