Least Common Multiple of 1336 and 1342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1336 and 1342 the smallest integer that is 896456 that is divisible by both numbers.

Least Common Multiple (LCM) of 1336 and 1342 is 896456.

LCM(1336,1342) = 896456

LCM of 1336 and 1342

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

LCM of:
and

Least Common Multiple of 1336 and 1342

LCM of 1336 and 1342 is 896456

Least common multiple can be found by multiplying the highest exponent prime factors of 1336 and 1342. First we will calculate the prime factors of 1336 and 1342.

Prime Factorization of 1336


2 1336
2 668
2 334
167 167
1

Prime factors of 1336 are 2,167. Prime factorization of 1336 in exponential form is:

1336 = 23×1671

Prime Factorization of 1342


2 1342
11 671
61 61
1

Prime factors of 1342 are 2, 11,61. Prime factorization of 1342 in exponential form is:

1342 = 21×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 1336 and 1342.

LCM(1336,1342) = 23×111×611×1671
LCM(1336,1342) = 896456

Factors of 1336

List of positive integer factors of 1336 that divides 1336 without a remainder.

1, 2, 4, 8, 167, 334, 668, 1336

Factors of 1342

List of positive integer factors of 1342 that divides 1342 without a remainder.

1, 2, 11, 22, 61, 122, 671, 1342

Least Common Multiple of 1336 and 1342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1336 and 1342, than apply into the LCM equation.

GCF(1336,1342) = 2
LCM(1336,1342) = ( 1336 × 1342) / 2
LCM(1336,1342) = 1792912 / 2
LCM(1336,1342) = 896456

Properties of LCM 1336 and 1342

(i) The LCM of 1342 and 1336 is associative

LCM of 1336 and 1342 = LCM of 1342 and 1336

Related Least Common Multiples of 1336

Related Least Common Multiples of 1342

Frequently Asked Questions on LCM of 1336 and 1342

1. What is the LCM of 1336 and 1342?

Answer: LCM of 1336 and 1342 is 896456.

2. What are the Factors of 1336?

Answer: Factors of 1336 are 1, 2, 4, 8, 167, 334, 668, 1336. There are 8 integers that are factors of 1336. The greatest factor of 1336 is 1336.

3. What are the Factors of 1342?

Answer: Factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342. There are 8 integers that are factors of 1342. The greatest factor of 1342 is 1342.

4. How to Find the LCM of 1336 and 1342?

Answer:

Least Common Multiple of 1336 and 1342 = 896456

Step 1: Find the prime factorization of 1336

1336 = 2 x 2 x 2 x 167

Step 2: Find the prime factorization of 1342

1342 = 2 x 11 x 61

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

LCM = 896456 = 2 x 2 x 2 x 11 x 61 x 167

Step 4: Therefore, the least common multiple of 1336 and 1342 is 896456.