Least Common Multiple of 1374 and 1381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1374 and 1381 the smallest integer that is 1897494 that is divisible by both numbers.

Least Common Multiple (LCM) of 1374 and 1381 is 1897494.

LCM(1374,1381) = 1897494

LCM of 1374 and 1381

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

LCM of:
and

Least Common Multiple of 1374 and 1381

LCM of 1374 and 1381 is 1897494

Least common multiple can be found by multiplying the highest exponent prime factors of 1374 and 1381. First we will calculate the prime factors of 1374 and 1381.

Prime Factorization of 1374


2 1374
3 687
229 229
1

Prime factors of 1374 are 2, 3,229. Prime factorization of 1374 in exponential form is:

1374 = 21×31×2291

Prime Factorization of 1381


1381 1381
1

Prime factors of 1381 are 1381. Prime factorization of 1381 in exponential form is:

1381 = 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 1374 and 1381.

LCM(1374,1381) = 21×31×2291×13811
LCM(1374,1381) = 1897494

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1, 2, 3, 6, 229, 458, 687, 1374

Factors of 1381

List of positive integer factors of 1381 that divides 1381 without a remainder.

1, 1381

Least Common Multiple of 1374 and 1381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1374 and 1381, than apply into the LCM equation.

GCF(1374,1381) = 1
LCM(1374,1381) = ( 1374 × 1381) / 1
LCM(1374,1381) = 1897494 / 1
LCM(1374,1381) = 1897494

Properties of LCM 1374 and 1381

(i) The LCM of 1381 and 1374 is associative

LCM of 1374 and 1381 = LCM of 1381 and 1374

Related Least Common Multiples of 1374

Related Least Common Multiples of 1381

Frequently Asked Questions on LCM of 1374 and 1381

1. What is the LCM of 1374 and 1381?

Answer: LCM of 1374 and 1381 is 1897494.

2. What are the Factors of 1374?

Answer: Factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374. There are 8 integers that are factors of 1374. The greatest factor of 1374 is 1374.

3. What are the Factors of 1381?

Answer: Factors of 1381 are 1, 1381. There are 2 integers that are factors of 1381. The greatest factor of 1381 is 1381.

4. How to Find the LCM of 1374 and 1381?

Answer:

Least Common Multiple of 1374 and 1381 = 1897494

Step 1: Find the prime factorization of 1374

1374 = 2 x 3 x 229

Step 2: Find the prime factorization of 1381

1381 = 1381

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

LCM = 1897494 = 2 x 3 x 229 x 1381

Step 4: Therefore, the least common multiple of 1374 and 1381 is 1897494.