Least Common Multiple of 3459 and 3464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3459 and 3464 the smallest integer that is 11981976 that is divisible by both numbers.

Least Common Multiple (LCM) of 3459 and 3464 is 11981976.

LCM(3459,3464) = 11981976

LCM of 3459 and 3464

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

LCM of:
and

Least Common Multiple of 3459 and 3464

LCM of 3459 and 3464 is 11981976

Least common multiple can be found by multiplying the highest exponent prime factors of 3459 and 3464. First we will calculate the prime factors of 3459 and 3464.

Prime Factorization of 3459


3 3459
1153 1153
1

Prime factors of 3459 are 3,1153. Prime factorization of 3459 in exponential form is:

3459 = 31×11531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3459 and 3464.

LCM(3459,3464) = 23×31×4331×11531
LCM(3459,3464) = 11981976

Factors of 3459

List of positive integer factors of 3459 that divides 3459 without a remainder.

1, 3, 1153, 3459

Factors of 3464

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

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

Least Common Multiple of 3459 and 3464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3459 and 3464, than apply into the LCM equation.

GCF(3459,3464) = 1
LCM(3459,3464) = ( 3459 × 3464) / 1
LCM(3459,3464) = 11981976 / 1
LCM(3459,3464) = 11981976

Properties of LCM 3459 and 3464

(i) The LCM of 3464 and 3459 is associative

LCM of 3459 and 3464 = LCM of 3464 and 3459

Related Least Common Multiples of 3459

Related Least Common Multiples of 3464

Frequently Asked Questions on LCM of 3459 and 3464

1. What is the LCM of 3459 and 3464?

Answer: LCM of 3459 and 3464 is 11981976.

2. What are the Factors of 3459?

Answer: Factors of 3459 are 1, 3, 1153, 3459. There are 4 integers that are factors of 3459. The greatest factor of 3459 is 3459.

3. 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.

4. How to Find the LCM of 3459 and 3464?

Answer:

Least Common Multiple of 3459 and 3464 = 11981976

Step 1: Find the prime factorization of 3459

3459 = 3 x 1153

Step 2: Find the prime factorization of 3464

3464 = 2 x 2 x 2 x 433

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

LCM = 11981976 = 2 x 2 x 2 x 3 x 433 x 1153

Step 4: Therefore, the least common multiple of 3459 and 3464 is 11981976.