Least Common Multiple of 3450 and 3455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3450 and 3455 the smallest integer that is 2383950 that is divisible by both numbers.

Least Common Multiple (LCM) of 3450 and 3455 is 2383950.

LCM(3450,3455) = 2383950

LCM of 3450 and 3455

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

LCM of:
and

Least Common Multiple of 3450 and 3455

LCM of 3450 and 3455 is 2383950

Least common multiple can be found by multiplying the highest exponent prime factors of 3450 and 3455. First we will calculate the prime factors of 3450 and 3455.

Prime Factorization of 3450


2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 3450 are 2, 3, 5,23. Prime factorization of 3450 in exponential form is:

3450 = 21×31×52×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3450 and 3455.

LCM(3450,3455) = 21×31×52×231×6911
LCM(3450,3455) = 2383950

Factors of 3450

List of positive integer factors of 3450 that divides 3450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450

Factors of 3455

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

1, 5, 691, 3455

Least Common Multiple of 3450 and 3455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3450 and 3455, than apply into the LCM equation.

GCF(3450,3455) = 5
LCM(3450,3455) = ( 3450 × 3455) / 5
LCM(3450,3455) = 11919750 / 5
LCM(3450,3455) = 2383950

Properties of LCM 3450 and 3455

(i) The LCM of 3455 and 3450 is associative

LCM of 3450 and 3455 = LCM of 3455 and 3450

Related Least Common Multiples of 3450

Related Least Common Multiples of 3455

Frequently Asked Questions on LCM of 3450 and 3455

1. What is the LCM of 3450 and 3455?

Answer: LCM of 3450 and 3455 is 2383950.

2. What are the Factors of 3450?

Answer: Factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450. There are 24 integers that are factors of 3450. The greatest factor of 3450 is 3450.

3. 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.

4. How to Find the LCM of 3450 and 3455?

Answer:

Least Common Multiple of 3450 and 3455 = 2383950

Step 1: Find the prime factorization of 3450

3450 = 2 x 3 x 5 x 5 x 23

Step 2: Find the prime factorization of 3455

3455 = 5 x 691

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

LCM = 2383950 = 2 x 3 x 5 x 5 x 23 x 691

Step 4: Therefore, the least common multiple of 3450 and 3455 is 2383950.