Least Common Multiple of 3464 and 3471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3464 and 3471 the smallest integer that is 12023544 that is divisible by both numbers.

Least Common Multiple (LCM) of 3464 and 3471 is 12023544.

LCM(3464,3471) = 12023544

LCM of 3464 and 3471

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

LCM of:
and

Least Common Multiple of 3464 and 3471

LCM of 3464 and 3471 is 12023544

Least common multiple can be found by multiplying the highest exponent prime factors of 3464 and 3471. First we will calculate the prime factors of 3464 and 3471.

Prime Factorization of 3464


2 3464
2 1732
2 866
433 433
1

Prime factors of 3464 are 2,433. Prime factorization of 3464 in exponential form is:

3464 = 23×4331

Prime Factorization of 3471


3 3471
13 1157
89 89
1

Prime factors of 3471 are 3, 13,89. Prime factorization of 3471 in exponential form is:

3471 = 31×131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3464 and 3471.

LCM(3464,3471) = 23×31×131×891×4331
LCM(3464,3471) = 12023544

Factors of 3464

List of positive integer factors of 3464 that divides 3464 without a remainder.

1, 2, 4, 8, 433, 866, 1732, 3464

Factors of 3471

List of positive integer factors of 3471 that divides 3471 without a remainder.

1, 3, 13, 39, 89, 267, 1157, 3471

Least Common Multiple of 3464 and 3471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3464 and 3471, than apply into the LCM equation.

GCF(3464,3471) = 1
LCM(3464,3471) = ( 3464 × 3471) / 1
LCM(3464,3471) = 12023544 / 1
LCM(3464,3471) = 12023544

Properties of LCM 3464 and 3471

(i) The LCM of 3471 and 3464 is associative

LCM of 3464 and 3471 = LCM of 3471 and 3464

Related Least Common Multiples of 3464

Related Least Common Multiples of 3471

Frequently Asked Questions on LCM of 3464 and 3471

1. What is the LCM of 3464 and 3471?

Answer: LCM of 3464 and 3471 is 12023544.

2. What are the Factors of 3464?

Answer: Factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464. There are 8 integers that are factors of 3464. The greatest factor of 3464 is 3464.

3. What are the Factors of 3471?

Answer: Factors of 3471 are 1, 3, 13, 39, 89, 267, 1157, 3471. There are 8 integers that are factors of 3471. The greatest factor of 3471 is 3471.

4. How to Find the LCM of 3464 and 3471?

Answer:

Least Common Multiple of 3464 and 3471 = 12023544

Step 1: Find the prime factorization of 3464

3464 = 2 x 2 x 2 x 433

Step 2: Find the prime factorization of 3471

3471 = 3 x 13 x 89

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

LCM = 12023544 = 2 x 2 x 2 x 3 x 13 x 89 x 433

Step 4: Therefore, the least common multiple of 3464 and 3471 is 12023544.