Least Common Multiple of 1350 and 1353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1350 and 1353 the smallest integer that is 608850 that is divisible by both numbers.

Least Common Multiple (LCM) of 1350 and 1353 is 608850.

LCM(1350,1353) = 608850

LCM of 1350 and 1353

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

LCM of:
and

Least Common Multiple of 1350 and 1353

LCM of 1350 and 1353 is 608850

Least common multiple can be found by multiplying the highest exponent prime factors of 1350 and 1353. First we will calculate the prime factors of 1350 and 1353.

Prime Factorization of 1350


2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 1350 are 2, 3,5. Prime factorization of 1350 in exponential form is:

1350 = 21×33×52

Prime Factorization of 1353


3 1353
11 451
41 41
1

Prime factors of 1353 are 3, 11,41. Prime factorization of 1353 in exponential form is:

1353 = 31×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1350 and 1353.

LCM(1350,1353) = 21×33×52×111×411
LCM(1350,1353) = 608850

Factors of 1350

List of positive integer factors of 1350 that divides 1350 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350

Factors of 1353

List of positive integer factors of 1353 that divides 1353 without a remainder.

1, 3, 11, 33, 41, 123, 451, 1353

Least Common Multiple of 1350 and 1353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1350 and 1353, than apply into the LCM equation.

GCF(1350,1353) = 3
LCM(1350,1353) = ( 1350 × 1353) / 3
LCM(1350,1353) = 1826550 / 3
LCM(1350,1353) = 608850

Properties of LCM 1350 and 1353

(i) The LCM of 1353 and 1350 is associative

LCM of 1350 and 1353 = LCM of 1353 and 1350

Related Least Common Multiples of 1350

Related Least Common Multiples of 1353

Frequently Asked Questions on LCM of 1350 and 1353

1. What is the LCM of 1350 and 1353?

Answer: LCM of 1350 and 1353 is 608850.

2. What are the Factors of 1350?

Answer: Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. There are 24 integers that are factors of 1350. The greatest factor of 1350 is 1350.

3. What are the Factors of 1353?

Answer: Factors of 1353 are 1, 3, 11, 33, 41, 123, 451, 1353. There are 8 integers that are factors of 1353. The greatest factor of 1353 is 1353.

4. How to Find the LCM of 1350 and 1353?

Answer:

Least Common Multiple of 1350 and 1353 = 608850

Step 1: Find the prime factorization of 1350

1350 = 2 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 1353

1353 = 3 x 11 x 41

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

LCM = 608850 = 2 x 3 x 3 x 3 x 5 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 1350 and 1353 is 608850.