Least Common Multiple of 471 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 471 and 474 the smallest integer that is 74418 that is divisible by both numbers.

Least Common Multiple (LCM) of 471 and 474 is 74418.

LCM(471,474) = 74418

LCM of 471 and 474

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

LCM of:
and

Least Common Multiple of 471 and 474

LCM of 471 and 474 is 74418

Least common multiple can be found by multiplying the highest exponent prime factors of 471 and 474. First we will calculate the prime factors of 471 and 474.

Prime Factorization of 471


3 471
157 157
1

Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:

471 = 31×1571

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 471 and 474.

LCM(471,474) = 21×31×791×1571
LCM(471,474) = 74418

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1, 3, 157, 471

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 471 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 471 and 474, than apply into the LCM equation.

GCF(471,474) = 3
LCM(471,474) = ( 471 × 474) / 3
LCM(471,474) = 223254 / 3
LCM(471,474) = 74418

Properties of LCM 471 and 474

(i) The LCM of 474 and 471 is associative

LCM of 471 and 474 = LCM of 474 and 471

Related Least Common Multiples of 471

Related Least Common Multiples of 474

Frequently Asked Questions on LCM of 471 and 474

1. What is the LCM of 471 and 474?

Answer: LCM of 471 and 474 is 74418.

2. What are the Factors of 471?

Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.

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 471 and 474?

Answer:

Least Common Multiple of 471 and 474 = 74418

Step 1: Find the prime factorization of 471

471 = 3 x 157

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 = 74418 = 2 x 3 x 79 x 157

Step 4: Therefore, the least common multiple of 471 and 474 is 74418.