Least Common Multiple of 1379 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 1379 and 1384 the smallest integer that is 1908536 that is divisible by both numbers.

Least Common Multiple (LCM) of 1379 and 1384 is 1908536.

LCM(1379,1384) = 1908536

LCM of 1379 and 1384

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

LCM of:
and

Least Common Multiple of 1379 and 1384

LCM of 1379 and 1384 is 1908536

Least common multiple can be found by multiplying the highest exponent prime factors of 1379 and 1384. First we will calculate the prime factors of 1379 and 1384.

Prime Factorization of 1379


7 1379
197 197
1

Prime factors of 1379 are 7,197. Prime factorization of 1379 in exponential form is:

1379 = 71×1971

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 1379 and 1384.

LCM(1379,1384) = 23×71×1731×1971
LCM(1379,1384) = 1908536

Factors of 1379

List of positive integer factors of 1379 that divides 1379 without a remainder.

1, 7, 197, 1379

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 1379 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 1379 and 1384, than apply into the LCM equation.

GCF(1379,1384) = 1
LCM(1379,1384) = ( 1379 × 1384) / 1
LCM(1379,1384) = 1908536 / 1
LCM(1379,1384) = 1908536

Properties of LCM 1379 and 1384

(i) The LCM of 1384 and 1379 is associative

LCM of 1379 and 1384 = LCM of 1384 and 1379

Related Least Common Multiples of 1379

Related Least Common Multiples of 1384

Frequently Asked Questions on LCM of 1379 and 1384

1. What is the LCM of 1379 and 1384?

Answer: LCM of 1379 and 1384 is 1908536.

2. What are the Factors of 1379?

Answer: Factors of 1379 are 1, 7, 197, 1379. There are 4 integers that are factors of 1379. The greatest factor of 1379 is 1379.

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 1379 and 1384?

Answer:

Least Common Multiple of 1379 and 1384 = 1908536

Step 1: Find the prime factorization of 1379

1379 = 7 x 197

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 = 1908536 = 2 x 2 x 2 x 7 x 173 x 197

Step 4: Therefore, the least common multiple of 1379 and 1384 is 1908536.