Least Common Multiple of 1373 and 1377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1373 and 1377 the smallest integer that is 1890621 that is divisible by both numbers.

Least Common Multiple (LCM) of 1373 and 1377 is 1890621.

LCM(1373,1377) = 1890621

LCM of 1373 and 1377

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

LCM of:
and

Least Common Multiple of 1373 and 1377

LCM of 1373 and 1377 is 1890621

Least common multiple can be found by multiplying the highest exponent prime factors of 1373 and 1377. First we will calculate the prime factors of 1373 and 1377.

Prime Factorization of 1373


1373 1373
1

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

1373 = 13731

Prime Factorization of 1377


3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 1377 are 3,17. Prime factorization of 1377 in exponential form is:

1377 = 34×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1373 and 1377.

LCM(1373,1377) = 34×171×13731
LCM(1373,1377) = 1890621

Factors of 1373

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

1, 1373

Factors of 1377

List of positive integer factors of 1377 that divides 1377 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 459, 1377

Least Common Multiple of 1373 and 1377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1373 and 1377, than apply into the LCM equation.

GCF(1373,1377) = 1
LCM(1373,1377) = ( 1373 × 1377) / 1
LCM(1373,1377) = 1890621 / 1
LCM(1373,1377) = 1890621

Properties of LCM 1373 and 1377

(i) The LCM of 1377 and 1373 is associative

LCM of 1373 and 1377 = LCM of 1377 and 1373

Related Least Common Multiples of 1373

Related Least Common Multiples of 1377

Frequently Asked Questions on LCM of 1373 and 1377

1. What is the LCM of 1373 and 1377?

Answer: LCM of 1373 and 1377 is 1890621.

2. 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.

3. What are the Factors of 1377?

Answer: Factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377. There are 10 integers that are factors of 1377. The greatest factor of 1377 is 1377.

4. How to Find the LCM of 1373 and 1377?

Answer:

Least Common Multiple of 1373 and 1377 = 1890621

Step 1: Find the prime factorization of 1373

1373 = 1373

Step 2: Find the prime factorization of 1377

1377 = 3 x 3 x 3 x 3 x 17

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

LCM = 1890621 = 3 x 3 x 3 x 3 x 17 x 1373

Step 4: Therefore, the least common multiple of 1373 and 1377 is 1890621.