Least Common Multiple of 1369 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 1369 and 1373 the smallest integer that is 1879637 that is divisible by both numbers.

Least Common Multiple (LCM) of 1369 and 1373 is 1879637.

LCM(1369,1373) = 1879637

LCM of 1369 and 1373

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

LCM of:
and

Least Common Multiple of 1369 and 1373

LCM of 1369 and 1373 is 1879637

Least common multiple can be found by multiplying the highest exponent prime factors of 1369 and 1373. First we will calculate the prime factors of 1369 and 1373.

Prime Factorization of 1369


37 1369
37 37
1

Prime factors of 1369 are 37. Prime factorization of 1369 in exponential form is:

1369 = 372

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 1369 and 1373.

LCM(1369,1373) = 372×13731
LCM(1369,1373) = 1879637

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1, 37, 1369

Factors of 1373

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

1, 1373

Least Common Multiple of 1369 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 1369 and 1373, than apply into the LCM equation.

GCF(1369,1373) = 1
LCM(1369,1373) = ( 1369 × 1373) / 1
LCM(1369,1373) = 1879637 / 1
LCM(1369,1373) = 1879637

Properties of LCM 1369 and 1373

(i) The LCM of 1373 and 1369 is associative

LCM of 1369 and 1373 = LCM of 1373 and 1369

Related Least Common Multiples of 1369

Related Least Common Multiples of 1373

Frequently Asked Questions on LCM of 1369 and 1373

1. What is the LCM of 1369 and 1373?

Answer: LCM of 1369 and 1373 is 1879637.

2. What are the Factors of 1369?

Answer: Factors of 1369 are 1, 37, 1369. There are 3 integers that are factors of 1369. The greatest factor of 1369 is 1369.

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 1369 and 1373?

Answer:

Least Common Multiple of 1369 and 1373 = 1879637

Step 1: Find the prime factorization of 1369

1369 = 37 x 37

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 = 1879637 = 37 x 37 x 1373

Step 4: Therefore, the least common multiple of 1369 and 1373 is 1879637.