Least Common Multiple of 467 and 472

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 472 the smallest integer that is 220424 that is divisible by both numbers.

Least Common Multiple (LCM) of 467 and 472 is 220424.

LCM(467,472) = 220424

LCM of 467 and 472

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

LCM of:
and

Least Common Multiple of 467 and 472

LCM of 467 and 472 is 220424

Least common multiple can be found by multiplying the highest exponent prime factors of 467 and 472. First we will calculate the prime factors of 467 and 472.

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 472


2 472
2 236
2 118
59 59
1

Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:

472 = 23×591

Now multiplying the highest exponent prime factors to calculate the LCM of 467 and 472.

LCM(467,472) = 23×591×4671
LCM(467,472) = 220424

Factors of 467

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

1, 467

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Least Common Multiple of 467 and 472 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 472, than apply into the LCM equation.

GCF(467,472) = 1
LCM(467,472) = ( 467 × 472) / 1
LCM(467,472) = 220424 / 1
LCM(467,472) = 220424

Properties of LCM 467 and 472

(i) The LCM of 472 and 467 is associative

LCM of 467 and 472 = LCM of 472 and 467

Related Least Common Multiples of 467

Related Least Common Multiples of 472

Frequently Asked Questions on LCM of 467 and 472

1. What is the LCM of 467 and 472?

Answer: LCM of 467 and 472 is 220424.

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 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

4. How to Find the LCM of 467 and 472?

Answer:

Least Common Multiple of 467 and 472 = 220424

Step 1: Find the prime factorization of 467

467 = 467

Step 2: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

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

LCM = 220424 = 2 x 2 x 2 x 59 x 467

Step 4: Therefore, the least common multiple of 467 and 472 is 220424.