Least Common Multiple of 1374 and 1378

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 1378 the smallest integer that is 946686 that is divisible by both numbers.

Least Common Multiple (LCM) of 1374 and 1378 is 946686.

LCM(1374,1378) = 946686

LCM of 1374 and 1378

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

LCM of:
and

Least Common Multiple of 1374 and 1378

LCM of 1374 and 1378 is 946686

Least common multiple can be found by multiplying the highest exponent prime factors of 1374 and 1378. First we will calculate the prime factors of 1374 and 1378.

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 1378


2 1378
13 689
53 53
1

Prime factors of 1378 are 2, 13,53. Prime factorization of 1378 in exponential form is:

1378 = 21×131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1374 and 1378.

LCM(1374,1378) = 21×31×131×531×2291
LCM(1374,1378) = 946686

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 1378

List of positive integer factors of 1378 that divides 1378 without a remainder.

1, 2, 13, 26, 53, 106, 689, 1378

Least Common Multiple of 1374 and 1378 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 1378, than apply into the LCM equation.

GCF(1374,1378) = 2
LCM(1374,1378) = ( 1374 × 1378) / 2
LCM(1374,1378) = 1893372 / 2
LCM(1374,1378) = 946686

Properties of LCM 1374 and 1378

(i) The LCM of 1378 and 1374 is associative

LCM of 1374 and 1378 = LCM of 1378 and 1374

Related Least Common Multiples of 1374

Related Least Common Multiples of 1378

Frequently Asked Questions on LCM of 1374 and 1378

1. What is the LCM of 1374 and 1378?

Answer: LCM of 1374 and 1378 is 946686.

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 1378?

Answer: Factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378. There are 8 integers that are factors of 1378. The greatest factor of 1378 is 1378.

4. How to Find the LCM of 1374 and 1378?

Answer:

Least Common Multiple of 1374 and 1378 = 946686

Step 1: Find the prime factorization of 1374

1374 = 2 x 3 x 229

Step 2: Find the prime factorization of 1378

1378 = 2 x 13 x 53

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

LCM = 946686 = 2 x 3 x 13 x 53 x 229

Step 4: Therefore, the least common multiple of 1374 and 1378 is 946686.