Least Common Multiple of 1345 and 1350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1345 and 1350 the smallest integer that is 363150 that is divisible by both numbers.

Least Common Multiple (LCM) of 1345 and 1350 is 363150.

LCM(1345,1350) = 363150

LCM of 1345 and 1350

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

LCM of:
and

Least Common Multiple of 1345 and 1350

LCM of 1345 and 1350 is 363150

Least common multiple can be found by multiplying the highest exponent prime factors of 1345 and 1350. First we will calculate the prime factors of 1345 and 1350.

Prime Factorization of 1345


5 1345
269 269
1

Prime factors of 1345 are 5,269. Prime factorization of 1345 in exponential form is:

1345 = 51×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1345 and 1350.

LCM(1345,1350) = 21×33×52×2691
LCM(1345,1350) = 363150

Factors of 1345

List of positive integer factors of 1345 that divides 1345 without a remainder.

1, 5, 269, 1345

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

Least Common Multiple of 1345 and 1350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1345 and 1350, than apply into the LCM equation.

GCF(1345,1350) = 5
LCM(1345,1350) = ( 1345 × 1350) / 5
LCM(1345,1350) = 1815750 / 5
LCM(1345,1350) = 363150

Properties of LCM 1345 and 1350

(i) The LCM of 1350 and 1345 is associative

LCM of 1345 and 1350 = LCM of 1350 and 1345

Related Least Common Multiples of 1345

Related Least Common Multiples of 1350

Frequently Asked Questions on LCM of 1345 and 1350

1. What is the LCM of 1345 and 1350?

Answer: LCM of 1345 and 1350 is 363150.

2. What are the Factors of 1345?

Answer: Factors of 1345 are 1, 5, 269, 1345. There are 4 integers that are factors of 1345. The greatest factor of 1345 is 1345.

3. 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.

4. How to Find the LCM of 1345 and 1350?

Answer:

Least Common Multiple of 1345 and 1350 = 363150

Step 1: Find the prime factorization of 1345

1345 = 5 x 269

Step 2: Find the prime factorization of 1350

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

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

LCM = 363150 = 2 x 3 x 3 x 3 x 5 x 5 x 269

Step 4: Therefore, the least common multiple of 1345 and 1350 is 363150.