Least Common Multiple of 1336 and 1340

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 1340 the smallest integer that is 447560 that is divisible by both numbers.

Least Common Multiple (LCM) of 1336 and 1340 is 447560.

LCM(1336,1340) = 447560

LCM of 1336 and 1340

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

LCM of:
and

Least Common Multiple of 1336 and 1340

LCM of 1336 and 1340 is 447560

Least common multiple can be found by multiplying the highest exponent prime factors of 1336 and 1340. First we will calculate the prime factors of 1336 and 1340.

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 1340


2 1340
2 670
5 335
67 67
1

Prime factors of 1340 are 2, 5,67. Prime factorization of 1340 in exponential form is:

1340 = 22×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1336 and 1340.

LCM(1336,1340) = 23×51×671×1671
LCM(1336,1340) = 447560

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 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340

Least Common Multiple of 1336 and 1340 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 1340, than apply into the LCM equation.

GCF(1336,1340) = 4
LCM(1336,1340) = ( 1336 × 1340) / 4
LCM(1336,1340) = 1790240 / 4
LCM(1336,1340) = 447560

Properties of LCM 1336 and 1340

(i) The LCM of 1340 and 1336 is associative

LCM of 1336 and 1340 = LCM of 1340 and 1336

Related Least Common Multiples of 1336

Related Least Common Multiples of 1340

Frequently Asked Questions on LCM of 1336 and 1340

1. What is the LCM of 1336 and 1340?

Answer: LCM of 1336 and 1340 is 447560.

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 1340?

Answer: Factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340. There are 12 integers that are factors of 1340. The greatest factor of 1340 is 1340.

4. How to Find the LCM of 1336 and 1340?

Answer:

Least Common Multiple of 1336 and 1340 = 447560

Step 1: Find the prime factorization of 1336

1336 = 2 x 2 x 2 x 167

Step 2: Find the prime factorization of 1340

1340 = 2 x 2 x 5 x 67

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

LCM = 447560 = 2 x 2 x 2 x 5 x 67 x 167

Step 4: Therefore, the least common multiple of 1336 and 1340 is 447560.