Least Common Multiple of 1368 and 1373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1368 and 1373 the smallest integer that is 1878264 that is divisible by both numbers.

Least Common Multiple (LCM) of 1368 and 1373 is 1878264.

LCM(1368,1373) = 1878264

LCM of 1368 and 1373

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

LCM of:
and

Least Common Multiple of 1368 and 1373

LCM of 1368 and 1373 is 1878264

Least common multiple can be found by multiplying the highest exponent prime factors of 1368 and 1373. First we will calculate the prime factors of 1368 and 1373.

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

Prime Factorization of 1373


1373 1373
1

Prime factors of 1373 are 1373. Prime factorization of 1373 in exponential form is:

1373 = 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 1368 and 1373.

LCM(1368,1373) = 23×32×191×13731
LCM(1368,1373) = 1878264

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

Factors of 1373

List of positive integer factors of 1373 that divides 1373 without a remainder.

1, 1373

Least Common Multiple of 1368 and 1373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1368 and 1373, than apply into the LCM equation.

GCF(1368,1373) = 1
LCM(1368,1373) = ( 1368 × 1373) / 1
LCM(1368,1373) = 1878264 / 1
LCM(1368,1373) = 1878264

Properties of LCM 1368 and 1373

(i) The LCM of 1373 and 1368 is associative

LCM of 1368 and 1373 = LCM of 1373 and 1368

Related Least Common Multiples of 1368

Related Least Common Multiples of 1373

Frequently Asked Questions on LCM of 1368 and 1373

1. What is the LCM of 1368 and 1373?

Answer: LCM of 1368 and 1373 is 1878264.

2. 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.

3. What are the Factors of 1373?

Answer: Factors of 1373 are 1, 1373. There are 2 integers that are factors of 1373. The greatest factor of 1373 is 1373.

4. How to Find the LCM of 1368 and 1373?

Answer:

Least Common Multiple of 1368 and 1373 = 1878264

Step 1: Find the prime factorization of 1368

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

Step 2: Find the prime factorization of 1373

1373 = 1373

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

LCM = 1878264 = 2 x 2 x 2 x 3 x 3 x 19 x 1373

Step 4: Therefore, the least common multiple of 1368 and 1373 is 1878264.