Least Common Multiple of 3464 and 3468

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 3468 the smallest integer that is 3003288 that is divisible by both numbers.

Least Common Multiple (LCM) of 3464 and 3468 is 3003288.

LCM(3464,3468) = 3003288

LCM of 3464 and 3468

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

LCM of:
and

Least Common Multiple of 3464 and 3468

LCM of 3464 and 3468 is 3003288

Least common multiple can be found by multiplying the highest exponent prime factors of 3464 and 3468. First we will calculate the prime factors of 3464 and 3468.

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 3468


2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 3468 are 2, 3,17. Prime factorization of 3468 in exponential form is:

3468 = 22×31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 3464 and 3468.

LCM(3464,3468) = 23×31×172×4331
LCM(3464,3468) = 3003288

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 3468

List of positive integer factors of 3468 that divides 3468 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468

Least Common Multiple of 3464 and 3468 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 3468, than apply into the LCM equation.

GCF(3464,3468) = 4
LCM(3464,3468) = ( 3464 × 3468) / 4
LCM(3464,3468) = 12013152 / 4
LCM(3464,3468) = 3003288

Properties of LCM 3464 and 3468

(i) The LCM of 3468 and 3464 is associative

LCM of 3464 and 3468 = LCM of 3468 and 3464

Related Least Common Multiples of 3464

Related Least Common Multiples of 3468

Frequently Asked Questions on LCM of 3464 and 3468

1. What is the LCM of 3464 and 3468?

Answer: LCM of 3464 and 3468 is 3003288.

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 3468?

Answer: Factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468. There are 18 integers that are factors of 3468. The greatest factor of 3468 is 3468.

4. How to Find the LCM of 3464 and 3468?

Answer:

Least Common Multiple of 3464 and 3468 = 3003288

Step 1: Find the prime factorization of 3464

3464 = 2 x 2 x 2 x 433

Step 2: Find the prime factorization of 3468

3468 = 2 x 2 x 3 x 17 x 17

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

LCM = 3003288 = 2 x 2 x 2 x 3 x 17 x 17 x 433

Step 4: Therefore, the least common multiple of 3464 and 3468 is 3003288.