Least Common Multiple of 1371 and 1372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1371 and 1372 the smallest integer that is 1881012 that is divisible by both numbers.

Least Common Multiple (LCM) of 1371 and 1372 is 1881012.

LCM(1371,1372) = 1881012

LCM of 1371 and 1372

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

LCM of:
and

Least Common Multiple of 1371 and 1372

LCM of 1371 and 1372 is 1881012

Least common multiple can be found by multiplying the highest exponent prime factors of 1371 and 1372. First we will calculate the prime factors of 1371 and 1372.

Prime Factorization of 1371


3 1371
457 457
1

Prime factors of 1371 are 3,457. Prime factorization of 1371 in exponential form is:

1371 = 31×4571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1371 and 1372.

LCM(1371,1372) = 22×31×73×4571
LCM(1371,1372) = 1881012

Factors of 1371

List of positive integer factors of 1371 that divides 1371 without a remainder.

1, 3, 457, 1371

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

Least Common Multiple of 1371 and 1372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1371 and 1372, than apply into the LCM equation.

GCF(1371,1372) = 1
LCM(1371,1372) = ( 1371 × 1372) / 1
LCM(1371,1372) = 1881012 / 1
LCM(1371,1372) = 1881012

Properties of LCM 1371 and 1372

(i) The LCM of 1372 and 1371 is associative

LCM of 1371 and 1372 = LCM of 1372 and 1371

Related Least Common Multiples of 1371

Related Least Common Multiples of 1372

Frequently Asked Questions on LCM of 1371 and 1372

1. What is the LCM of 1371 and 1372?

Answer: LCM of 1371 and 1372 is 1881012.

2. What are the Factors of 1371?

Answer: Factors of 1371 are 1, 3, 457, 1371. There are 4 integers that are factors of 1371. The greatest factor of 1371 is 1371.

3. 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.

4. How to Find the LCM of 1371 and 1372?

Answer:

Least Common Multiple of 1371 and 1372 = 1881012

Step 1: Find the prime factorization of 1371

1371 = 3 x 457

Step 2: Find the prime factorization of 1372

1372 = 2 x 2 x 7 x 7 x 7

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

LCM = 1881012 = 2 x 2 x 3 x 7 x 7 x 7 x 457

Step 4: Therefore, the least common multiple of 1371 and 1372 is 1881012.