Least Common Multiple of 1367 and 1368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1367 and 1368 the smallest integer that is 1870056 that is divisible by both numbers.

Least Common Multiple (LCM) of 1367 and 1368 is 1870056.

LCM(1367,1368) = 1870056

LCM of 1367 and 1368

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

LCM of:
and

Least Common Multiple of 1367 and 1368

LCM of 1367 and 1368 is 1870056

Least common multiple can be found by multiplying the highest exponent prime factors of 1367 and 1368. First we will calculate the prime factors of 1367 and 1368.

Prime Factorization of 1367


1367 1367
1

Prime factors of 1367 are 1367. Prime factorization of 1367 in exponential form is:

1367 = 13671

Prime Factorization of 1368


2 1368
2 684
2 342
3 171
3 57
19 19
1

Prime factors of 1368 are 2, 3,19. Prime factorization of 1368 in exponential form is:

1368 = 23×32×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1367 and 1368.

LCM(1367,1368) = 23×32×191×13671
LCM(1367,1368) = 1870056

Factors of 1367

List of positive integer factors of 1367 that divides 1367 without a remainder.

1, 1367

Factors of 1368

List of positive integer factors of 1368 that divides 1368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368

Least Common Multiple of 1367 and 1368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1367 and 1368, than apply into the LCM equation.

GCF(1367,1368) = 1
LCM(1367,1368) = ( 1367 × 1368) / 1
LCM(1367,1368) = 1870056 / 1
LCM(1367,1368) = 1870056

Properties of LCM 1367 and 1368

(i) The LCM of 1368 and 1367 is associative

LCM of 1367 and 1368 = LCM of 1368 and 1367

Related Least Common Multiples of 1367

Related Least Common Multiples of 1368

Frequently Asked Questions on LCM of 1367 and 1368

1. What is the LCM of 1367 and 1368?

Answer: LCM of 1367 and 1368 is 1870056.

2. What are the Factors of 1367?

Answer: Factors of 1367 are 1, 1367. There are 2 integers that are factors of 1367. The greatest factor of 1367 is 1367.

3. What are the Factors of 1368?

Answer: Factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368. There are 24 integers that are factors of 1368. The greatest factor of 1368 is 1368.

4. How to Find the LCM of 1367 and 1368?

Answer:

Least Common Multiple of 1367 and 1368 = 1870056

Step 1: Find the prime factorization of 1367

1367 = 1367

Step 2: Find the prime factorization of 1368

1368 = 2 x 2 x 2 x 3 x 3 x 19

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

LCM = 1870056 = 2 x 2 x 2 x 3 x 3 x 19 x 1367

Step 4: Therefore, the least common multiple of 1367 and 1368 is 1870056.