Least Common Multiple of 471 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 471 and 472 the smallest integer that is 222312 that is divisible by both numbers.

Least Common Multiple (LCM) of 471 and 472 is 222312.

LCM(471,472) = 222312

LCM of 471 and 472

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

LCM of:
and

Least Common Multiple of 471 and 472

LCM of 471 and 472 is 222312

Least common multiple can be found by multiplying the highest exponent prime factors of 471 and 472. First we will calculate the prime factors of 471 and 472.

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 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 471 and 472.

LCM(471,472) = 23×31×591×1571
LCM(471,472) = 222312

Factors of 471

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

1, 3, 157, 471

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 471 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 471 and 472, than apply into the LCM equation.

GCF(471,472) = 1
LCM(471,472) = ( 471 × 472) / 1
LCM(471,472) = 222312 / 1
LCM(471,472) = 222312

Properties of LCM 471 and 472

(i) The LCM of 472 and 471 is associative

LCM of 471 and 472 = LCM of 472 and 471

Related Least Common Multiples of 471

Related Least Common Multiples of 472

Frequently Asked Questions on LCM of 471 and 472

1. What is the LCM of 471 and 472?

Answer: LCM of 471 and 472 is 222312.

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 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 471 and 472?

Answer:

Least Common Multiple of 471 and 472 = 222312

Step 1: Find the prime factorization of 471

471 = 3 x 157

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 = 222312 = 2 x 2 x 2 x 3 x 59 x 157

Step 4: Therefore, the least common multiple of 471 and 472 is 222312.