Least Common Multiple of 3443 and 3450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3443 and 3450 the smallest integer that is 11878350 that is divisible by both numbers.

Least Common Multiple (LCM) of 3443 and 3450 is 11878350.

LCM(3443,3450) = 11878350

LCM of 3443 and 3450

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

LCM of:
and

Least Common Multiple of 3443 and 3450

LCM of 3443 and 3450 is 11878350

Least common multiple can be found by multiplying the highest exponent prime factors of 3443 and 3450. First we will calculate the prime factors of 3443 and 3450.

Prime Factorization of 3443


11 3443
313 313
1

Prime factors of 3443 are 11,313. Prime factorization of 3443 in exponential form is:

3443 = 111×3131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3443 and 3450.

LCM(3443,3450) = 21×31×52×111×231×3131
LCM(3443,3450) = 11878350

Factors of 3443

List of positive integer factors of 3443 that divides 3443 without a remainder.

1, 11, 313, 3443

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

Least Common Multiple of 3443 and 3450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3443 and 3450, than apply into the LCM equation.

GCF(3443,3450) = 1
LCM(3443,3450) = ( 3443 × 3450) / 1
LCM(3443,3450) = 11878350 / 1
LCM(3443,3450) = 11878350

Properties of LCM 3443 and 3450

(i) The LCM of 3450 and 3443 is associative

LCM of 3443 and 3450 = LCM of 3450 and 3443

Related Least Common Multiples of 3443

Related Least Common Multiples of 3450

Frequently Asked Questions on LCM of 3443 and 3450

1. What is the LCM of 3443 and 3450?

Answer: LCM of 3443 and 3450 is 11878350.

2. What are the Factors of 3443?

Answer: Factors of 3443 are 1, 11, 313, 3443. There are 4 integers that are factors of 3443. The greatest factor of 3443 is 3443.

3. 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.

4. How to Find the LCM of 3443 and 3450?

Answer:

Least Common Multiple of 3443 and 3450 = 11878350

Step 1: Find the prime factorization of 3443

3443 = 11 x 313

Step 2: Find the prime factorization of 3450

3450 = 2 x 3 x 5 x 5 x 23

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

LCM = 11878350 = 2 x 3 x 5 x 5 x 11 x 23 x 313

Step 4: Therefore, the least common multiple of 3443 and 3450 is 11878350.