Least Common Multiple of 1372 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 1372 and 1378 the smallest integer that is 945308 that is divisible by both numbers.

Least Common Multiple (LCM) of 1372 and 1378 is 945308.

LCM(1372,1378) = 945308

LCM of 1372 and 1378

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

LCM of:
and

Least Common Multiple of 1372 and 1378

LCM of 1372 and 1378 is 945308

Least common multiple can be found by multiplying the highest exponent prime factors of 1372 and 1378. First we will calculate the prime factors of 1372 and 1378.

Prime Factorization of 1372


2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 1372 are 2,7. Prime factorization of 1372 in exponential form is:

1372 = 22×73

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 1372 and 1378.

LCM(1372,1378) = 22×73×131×531
LCM(1372,1378) = 945308

Factors of 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372

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 1372 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 1372 and 1378, than apply into the LCM equation.

GCF(1372,1378) = 2
LCM(1372,1378) = ( 1372 × 1378) / 2
LCM(1372,1378) = 1890616 / 2
LCM(1372,1378) = 945308

Properties of LCM 1372 and 1378

(i) The LCM of 1378 and 1372 is associative

LCM of 1372 and 1378 = LCM of 1378 and 1372

Related Least Common Multiples of 1372

Related Least Common Multiples of 1378

Frequently Asked Questions on LCM of 1372 and 1378

1. What is the LCM of 1372 and 1378?

Answer: LCM of 1372 and 1378 is 945308.

2. What are the Factors of 1372?

Answer: Factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372. There are 12 integers that are factors of 1372. The greatest factor of 1372 is 1372.

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 1372 and 1378?

Answer:

Least Common Multiple of 1372 and 1378 = 945308

Step 1: Find the prime factorization of 1372

1372 = 2 x 2 x 7 x 7 x 7

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 = 945308 = 2 x 2 x 7 x 7 x 7 x 13 x 53

Step 4: Therefore, the least common multiple of 1372 and 1378 is 945308.