Least Common Multiple of 467 and 471

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 471 the smallest integer that is 219957 that is divisible by both numbers.

Least Common Multiple (LCM) of 467 and 471 is 219957.

LCM(467,471) = 219957

LCM of 467 and 471

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

LCM of:
and

Least Common Multiple of 467 and 471

LCM of 467 and 471 is 219957

Least common multiple can be found by multiplying the highest exponent prime factors of 467 and 471. First we will calculate the prime factors of 467 and 471.

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 471


3 471
157 157
1

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

471 = 31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 467 and 471.

LCM(467,471) = 31×1571×4671
LCM(467,471) = 219957

Factors of 467

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

1, 467

Factors of 471

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

1, 3, 157, 471

Least Common Multiple of 467 and 471 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 471, than apply into the LCM equation.

GCF(467,471) = 1
LCM(467,471) = ( 467 × 471) / 1
LCM(467,471) = 219957 / 1
LCM(467,471) = 219957

Properties of LCM 467 and 471

(i) The LCM of 471 and 467 is associative

LCM of 467 and 471 = LCM of 471 and 467

Related Least Common Multiples of 467

Related Least Common Multiples of 471

Frequently Asked Questions on LCM of 467 and 471

1. What is the LCM of 467 and 471?

Answer: LCM of 467 and 471 is 219957.

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 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.

4. How to Find the LCM of 467 and 471?

Answer:

Least Common Multiple of 467 and 471 = 219957

Step 1: Find the prime factorization of 467

467 = 467

Step 2: Find the prime factorization of 471

471 = 3 x 157

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

LCM = 219957 = 3 x 157 x 467

Step 4: Therefore, the least common multiple of 467 and 471 is 219957.