Least Common Multiple of 1364 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 1364 and 1368 the smallest integer that is 466488 that is divisible by both numbers.

Least Common Multiple (LCM) of 1364 and 1368 is 466488.

LCM(1364,1368) = 466488

LCM of 1364 and 1368

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

LCM of:
and

Least Common Multiple of 1364 and 1368

LCM of 1364 and 1368 is 466488

Least common multiple can be found by multiplying the highest exponent prime factors of 1364 and 1368. First we will calculate the prime factors of 1364 and 1368.

Prime Factorization of 1364


2 1364
2 682
11 341
31 31
1

Prime factors of 1364 are 2, 11,31. Prime factorization of 1364 in exponential form is:

1364 = 22×111×311

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 1364 and 1368.

LCM(1364,1368) = 23×32×111×191×311
LCM(1364,1368) = 466488

Factors of 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

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 1364 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 1364 and 1368, than apply into the LCM equation.

GCF(1364,1368) = 4
LCM(1364,1368) = ( 1364 × 1368) / 4
LCM(1364,1368) = 1865952 / 4
LCM(1364,1368) = 466488

Properties of LCM 1364 and 1368

(i) The LCM of 1368 and 1364 is associative

LCM of 1364 and 1368 = LCM of 1368 and 1364

Related Least Common Multiples of 1364

Related Least Common Multiples of 1368

Frequently Asked Questions on LCM of 1364 and 1368

1. What is the LCM of 1364 and 1368?

Answer: LCM of 1364 and 1368 is 466488.

2. What are the Factors of 1364?

Answer: Factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. There are 12 integers that are factors of 1364. The greatest factor of 1364 is 1364.

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 1364 and 1368?

Answer:

Least Common Multiple of 1364 and 1368 = 466488

Step 1: Find the prime factorization of 1364

1364 = 2 x 2 x 11 x 31

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 = 466488 = 2 x 2 x 2 x 3 x 3 x 11 x 19 x 31

Step 4: Therefore, the least common multiple of 1364 and 1368 is 466488.