Least Common Multiple of 3455 and 3461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3455 and 3461 the smallest integer that is 11957755 that is divisible by both numbers.

Least Common Multiple (LCM) of 3455 and 3461 is 11957755.

LCM(3455,3461) = 11957755

LCM of 3455 and 3461

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

LCM of:
and

Least Common Multiple of 3455 and 3461

LCM of 3455 and 3461 is 11957755

Least common multiple can be found by multiplying the highest exponent prime factors of 3455 and 3461. First we will calculate the prime factors of 3455 and 3461.

Prime Factorization of 3455


5 3455
691 691
1

Prime factors of 3455 are 5,691. Prime factorization of 3455 in exponential form is:

3455 = 51×6911

Prime Factorization of 3461


3461 3461
1

Prime factors of 3461 are 3461. Prime factorization of 3461 in exponential form is:

3461 = 34611

Now multiplying the highest exponent prime factors to calculate the LCM of 3455 and 3461.

LCM(3455,3461) = 51×6911×34611
LCM(3455,3461) = 11957755

Factors of 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1, 5, 691, 3455

Factors of 3461

List of positive integer factors of 3461 that divides 3461 without a remainder.

1, 3461

Least Common Multiple of 3455 and 3461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3455 and 3461, than apply into the LCM equation.

GCF(3455,3461) = 1
LCM(3455,3461) = ( 3455 × 3461) / 1
LCM(3455,3461) = 11957755 / 1
LCM(3455,3461) = 11957755

Properties of LCM 3455 and 3461

(i) The LCM of 3461 and 3455 is associative

LCM of 3455 and 3461 = LCM of 3461 and 3455

Related Least Common Multiples of 3455

Related Least Common Multiples of 3461

Frequently Asked Questions on LCM of 3455 and 3461

1. What is the LCM of 3455 and 3461?

Answer: LCM of 3455 and 3461 is 11957755.

2. What are the Factors of 3455?

Answer: Factors of 3455 are 1, 5, 691, 3455. There are 4 integers that are factors of 3455. The greatest factor of 3455 is 3455.

3. What are the Factors of 3461?

Answer: Factors of 3461 are 1, 3461. There are 2 integers that are factors of 3461. The greatest factor of 3461 is 3461.

4. How to Find the LCM of 3455 and 3461?

Answer:

Least Common Multiple of 3455 and 3461 = 11957755

Step 1: Find the prime factorization of 3455

3455 = 5 x 691

Step 2: Find the prime factorization of 3461

3461 = 3461

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

LCM = 11957755 = 5 x 691 x 3461

Step 4: Therefore, the least common multiple of 3455 and 3461 is 11957755.