Least Common Multiple of 464 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 464 and 471 the smallest integer that is 218544 that is divisible by both numbers.

Least Common Multiple (LCM) of 464 and 471 is 218544.

LCM(464,471) = 218544

LCM of 464 and 471

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

LCM of:
and

Least Common Multiple of 464 and 471

LCM of 464 and 471 is 218544

Least common multiple can be found by multiplying the highest exponent prime factors of 464 and 471. First we will calculate the prime factors of 464 and 471.

Prime Factorization of 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

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 464 and 471.

LCM(464,471) = 24×31×291×1571
LCM(464,471) = 218544

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Factors of 471

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

1, 3, 157, 471

Least Common Multiple of 464 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 464 and 471, than apply into the LCM equation.

GCF(464,471) = 1
LCM(464,471) = ( 464 × 471) / 1
LCM(464,471) = 218544 / 1
LCM(464,471) = 218544

Properties of LCM 464 and 471

(i) The LCM of 471 and 464 is associative

LCM of 464 and 471 = LCM of 471 and 464

Related Least Common Multiples of 464

Related Least Common Multiples of 471

Frequently Asked Questions on LCM of 464 and 471

1. What is the LCM of 464 and 471?

Answer: LCM of 464 and 471 is 218544.

2. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

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 464 and 471?

Answer:

Least Common Multiple of 464 and 471 = 218544

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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 = 218544 = 2 x 2 x 2 x 2 x 3 x 29 x 157

Step 4: Therefore, the least common multiple of 464 and 471 is 218544.