Least Common Multiple of 3459 and 3460

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 3460 the smallest integer that is 11968140 that is divisible by both numbers.

Least Common Multiple (LCM) of 3459 and 3460 is 11968140.

LCM(3459,3460) = 11968140

LCM of 3459 and 3460

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

LCM of:
and

Least Common Multiple of 3459 and 3460

LCM of 3459 and 3460 is 11968140

Least common multiple can be found by multiplying the highest exponent prime factors of 3459 and 3460. First we will calculate the prime factors of 3459 and 3460.

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 3460


2 3460
2 1730
5 865
173 173
1

Prime factors of 3460 are 2, 5,173. Prime factorization of 3460 in exponential form is:

3460 = 22×51×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 3459 and 3460.

LCM(3459,3460) = 22×31×51×1731×11531
LCM(3459,3460) = 11968140

Factors of 3459

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

1, 3, 1153, 3459

Factors of 3460

List of positive integer factors of 3460 that divides 3460 without a remainder.

1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460

Least Common Multiple of 3459 and 3460 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 3460, than apply into the LCM equation.

GCF(3459,3460) = 1
LCM(3459,3460) = ( 3459 × 3460) / 1
LCM(3459,3460) = 11968140 / 1
LCM(3459,3460) = 11968140

Properties of LCM 3459 and 3460

(i) The LCM of 3460 and 3459 is associative

LCM of 3459 and 3460 = LCM of 3460 and 3459

Related Least Common Multiples of 3459

Related Least Common Multiples of 3460

Frequently Asked Questions on LCM of 3459 and 3460

1. What is the LCM of 3459 and 3460?

Answer: LCM of 3459 and 3460 is 11968140.

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 3460?

Answer: Factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460. There are 12 integers that are factors of 3460. The greatest factor of 3460 is 3460.

4. How to Find the LCM of 3459 and 3460?

Answer:

Least Common Multiple of 3459 and 3460 = 11968140

Step 1: Find the prime factorization of 3459

3459 = 3 x 1153

Step 2: Find the prime factorization of 3460

3460 = 2 x 2 x 5 x 173

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

LCM = 11968140 = 2 x 2 x 3 x 5 x 173 x 1153

Step 4: Therefore, the least common multiple of 3459 and 3460 is 11968140.