Least Common Multiple of 1376 and 1384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1376 and 1384 the smallest integer that is 238048 that is divisible by both numbers.

Least Common Multiple (LCM) of 1376 and 1384 is 238048.

LCM(1376,1384) = 238048

LCM of 1376 and 1384

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

LCM of:
and

Least Common Multiple of 1376 and 1384

LCM of 1376 and 1384 is 238048

Least common multiple can be found by multiplying the highest exponent prime factors of 1376 and 1384. First we will calculate the prime factors of 1376 and 1384.

Prime Factorization of 1376


2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 1376 are 2,43. Prime factorization of 1376 in exponential form is:

1376 = 25×431

Prime Factorization of 1384


2 1384
2 692
2 346
173 173
1

Prime factors of 1384 are 2,173. Prime factorization of 1384 in exponential form is:

1384 = 23×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1376 and 1384.

LCM(1376,1384) = 25×431×1731
LCM(1376,1384) = 238048

Factors of 1376

List of positive integer factors of 1376 that divides 1376 without a remainder.

1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376

Factors of 1384

List of positive integer factors of 1384 that divides 1384 without a remainder.

1, 2, 4, 8, 173, 346, 692, 1384

Least Common Multiple of 1376 and 1384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1376 and 1384, than apply into the LCM equation.

GCF(1376,1384) = 8
LCM(1376,1384) = ( 1376 × 1384) / 8
LCM(1376,1384) = 1904384 / 8
LCM(1376,1384) = 238048

Properties of LCM 1376 and 1384

(i) The LCM of 1384 and 1376 is associative

LCM of 1376 and 1384 = LCM of 1384 and 1376

Related Least Common Multiples of 1376

Related Least Common Multiples of 1384

Frequently Asked Questions on LCM of 1376 and 1384

1. What is the LCM of 1376 and 1384?

Answer: LCM of 1376 and 1384 is 238048.

2. What are the Factors of 1376?

Answer: Factors of 1376 are 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376. There are 12 integers that are factors of 1376. The greatest factor of 1376 is 1376.

3. What are the Factors of 1384?

Answer: Factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384. There are 8 integers that are factors of 1384. The greatest factor of 1384 is 1384.

4. How to Find the LCM of 1376 and 1384?

Answer:

Least Common Multiple of 1376 and 1384 = 238048

Step 1: Find the prime factorization of 1376

1376 = 2 x 2 x 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 1384

1384 = 2 x 2 x 2 x 173

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

LCM = 238048 = 2 x 2 x 2 x 2 x 2 x 43 x 173

Step 4: Therefore, the least common multiple of 1376 and 1384 is 238048.