Least Common Multiple of 3445 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 3445 and 3450 the smallest integer that is 2377050 that is divisible by both numbers.

Least Common Multiple (LCM) of 3445 and 3450 is 2377050.

LCM(3445,3450) = 2377050

LCM of 3445 and 3450

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

LCM of:
and

Least Common Multiple of 3445 and 3450

LCM of 3445 and 3450 is 2377050

Least common multiple can be found by multiplying the highest exponent prime factors of 3445 and 3450. First we will calculate the prime factors of 3445 and 3450.

Prime Factorization of 3445


5 3445
13 689
53 53
1

Prime factors of 3445 are 5, 13,53. Prime factorization of 3445 in exponential form is:

3445 = 51×131×531

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 3445 and 3450.

LCM(3445,3450) = 21×31×52×131×231×531
LCM(3445,3450) = 2377050

Factors of 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1, 5, 13, 53, 65, 265, 689, 3445

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 3445 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 3445 and 3450, than apply into the LCM equation.

GCF(3445,3450) = 5
LCM(3445,3450) = ( 3445 × 3450) / 5
LCM(3445,3450) = 11885250 / 5
LCM(3445,3450) = 2377050

Properties of LCM 3445 and 3450

(i) The LCM of 3450 and 3445 is associative

LCM of 3445 and 3450 = LCM of 3450 and 3445

Related Least Common Multiples of 3445

Related Least Common Multiples of 3450

Frequently Asked Questions on LCM of 3445 and 3450

1. What is the LCM of 3445 and 3450?

Answer: LCM of 3445 and 3450 is 2377050.

2. What are the Factors of 3445?

Answer: Factors of 3445 are 1, 5, 13, 53, 65, 265, 689, 3445. There are 8 integers that are factors of 3445. The greatest factor of 3445 is 3445.

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 3445 and 3450?

Answer:

Least Common Multiple of 3445 and 3450 = 2377050

Step 1: Find the prime factorization of 3445

3445 = 5 x 13 x 53

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 = 2377050 = 2 x 3 x 5 x 5 x 13 x 23 x 53

Step 4: Therefore, the least common multiple of 3445 and 3450 is 2377050.