Least Common Multiple of 467 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 467 and 474 the smallest integer that is 221358 that is divisible by both numbers.

Least Common Multiple (LCM) of 467 and 474 is 221358.

LCM(467,474) = 221358

LCM of 467 and 474

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

LCM of:
and

Least Common Multiple of 467 and 474

LCM of 467 and 474 is 221358

Least common multiple can be found by multiplying the highest exponent prime factors of 467 and 474. First we will calculate the prime factors of 467 and 474.

Prime Factorization of 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

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 467 and 474.

LCM(467,474) = 21×31×791×4671
LCM(467,474) = 221358

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1, 467

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 467 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 467 and 474, than apply into the LCM equation.

GCF(467,474) = 1
LCM(467,474) = ( 467 × 474) / 1
LCM(467,474) = 221358 / 1
LCM(467,474) = 221358

Properties of LCM 467 and 474

(i) The LCM of 474 and 467 is associative

LCM of 467 and 474 = LCM of 474 and 467

Related Least Common Multiples of 467

Related Least Common Multiples of 474

Frequently Asked Questions on LCM of 467 and 474

1. What is the LCM of 467 and 474?

Answer: LCM of 467 and 474 is 221358.

2. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

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 467 and 474?

Answer:

Least Common Multiple of 467 and 474 = 221358

Step 1: Find the prime factorization of 467

467 = 467

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 = 221358 = 2 x 3 x 79 x 467

Step 4: Therefore, the least common multiple of 467 and 474 is 221358.