Least Common Multiple of 1346 and 1352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1346 and 1352 the smallest integer that is 909896 that is divisible by both numbers.

Least Common Multiple (LCM) of 1346 and 1352 is 909896.

LCM(1346,1352) = 909896

LCM of 1346 and 1352

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

LCM of:
and

Least Common Multiple of 1346 and 1352

LCM of 1346 and 1352 is 909896

Least common multiple can be found by multiplying the highest exponent prime factors of 1346 and 1352. First we will calculate the prime factors of 1346 and 1352.

Prime Factorization of 1346


2 1346
673 673
1

Prime factors of 1346 are 2,673. Prime factorization of 1346 in exponential form is:

1346 = 21×6731

Prime Factorization of 1352


2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 1352 are 2,13. Prime factorization of 1352 in exponential form is:

1352 = 23×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1346 and 1352.

LCM(1346,1352) = 23×132×6731
LCM(1346,1352) = 909896

Factors of 1346

List of positive integer factors of 1346 that divides 1346 without a remainder.

1, 2, 673, 1346

Factors of 1352

List of positive integer factors of 1352 that divides 1352 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352

Least Common Multiple of 1346 and 1352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1346 and 1352, than apply into the LCM equation.

GCF(1346,1352) = 2
LCM(1346,1352) = ( 1346 × 1352) / 2
LCM(1346,1352) = 1819792 / 2
LCM(1346,1352) = 909896

Properties of LCM 1346 and 1352

(i) The LCM of 1352 and 1346 is associative

LCM of 1346 and 1352 = LCM of 1352 and 1346

Related Least Common Multiples of 1346

Related Least Common Multiples of 1352

Frequently Asked Questions on LCM of 1346 and 1352

1. What is the LCM of 1346 and 1352?

Answer: LCM of 1346 and 1352 is 909896.

2. What are the Factors of 1346?

Answer: Factors of 1346 are 1, 2, 673, 1346. There are 4 integers that are factors of 1346. The greatest factor of 1346 is 1346.

3. What are the Factors of 1352?

Answer: Factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352. There are 12 integers that are factors of 1352. The greatest factor of 1352 is 1352.

4. How to Find the LCM of 1346 and 1352?

Answer:

Least Common Multiple of 1346 and 1352 = 909896

Step 1: Find the prime factorization of 1346

1346 = 2 x 673

Step 2: Find the prime factorization of 1352

1352 = 2 x 2 x 2 x 13 x 13

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

LCM = 909896 = 2 x 2 x 2 x 13 x 13 x 673

Step 4: Therefore, the least common multiple of 1346 and 1352 is 909896.