Least Common Multiple of 3457 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 3457 and 3460 the smallest integer that is 11961220 that is divisible by both numbers.

Least Common Multiple (LCM) of 3457 and 3460 is 11961220.

LCM(3457,3460) = 11961220

LCM of 3457 and 3460

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

LCM of:
and

Least Common Multiple of 3457 and 3460

LCM of 3457 and 3460 is 11961220

Least common multiple can be found by multiplying the highest exponent prime factors of 3457 and 3460. First we will calculate the prime factors of 3457 and 3460.

Prime Factorization of 3457


3457 3457
1

Prime factors of 3457 are 3457. Prime factorization of 3457 in exponential form is:

3457 = 34571

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 3457 and 3460.

LCM(3457,3460) = 22×51×1731×34571
LCM(3457,3460) = 11961220

Factors of 3457

List of positive integer factors of 3457 that divides 3457 without a remainder.

1, 3457

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 3457 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 3457 and 3460, than apply into the LCM equation.

GCF(3457,3460) = 1
LCM(3457,3460) = ( 3457 × 3460) / 1
LCM(3457,3460) = 11961220 / 1
LCM(3457,3460) = 11961220

Properties of LCM 3457 and 3460

(i) The LCM of 3460 and 3457 is associative

LCM of 3457 and 3460 = LCM of 3460 and 3457

Related Least Common Multiples of 3457

Related Least Common Multiples of 3460

Frequently Asked Questions on LCM of 3457 and 3460

1. What is the LCM of 3457 and 3460?

Answer: LCM of 3457 and 3460 is 11961220.

2. What are the Factors of 3457?

Answer: Factors of 3457 are 1, 3457. There are 2 integers that are factors of 3457. The greatest factor of 3457 is 3457.

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 3457 and 3460?

Answer:

Least Common Multiple of 3457 and 3460 = 11961220

Step 1: Find the prime factorization of 3457

3457 = 3457

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 = 11961220 = 2 x 2 x 5 x 173 x 3457

Step 4: Therefore, the least common multiple of 3457 and 3460 is 11961220.