Least Common Multiple of 1371 and 1375

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 1375 the smallest integer that is 1885125 that is divisible by both numbers.

Least Common Multiple (LCM) of 1371 and 1375 is 1885125.

LCM(1371,1375) = 1885125

LCM of 1371 and 1375

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

LCM of:
and

Least Common Multiple of 1371 and 1375

LCM of 1371 and 1375 is 1885125

Least common multiple can be found by multiplying the highest exponent prime factors of 1371 and 1375. First we will calculate the prime factors of 1371 and 1375.

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 1375


5 1375
5 275
5 55
11 11
1

Prime factors of 1375 are 5,11. Prime factorization of 1375 in exponential form is:

1375 = 53×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1371 and 1375.

LCM(1371,1375) = 31×53×111×4571
LCM(1371,1375) = 1885125

Factors of 1371

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

1, 3, 457, 1371

Factors of 1375

List of positive integer factors of 1375 that divides 1375 without a remainder.

1, 5, 11, 25, 55, 125, 275, 1375

Least Common Multiple of 1371 and 1375 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 1375, than apply into the LCM equation.

GCF(1371,1375) = 1
LCM(1371,1375) = ( 1371 × 1375) / 1
LCM(1371,1375) = 1885125 / 1
LCM(1371,1375) = 1885125

Properties of LCM 1371 and 1375

(i) The LCM of 1375 and 1371 is associative

LCM of 1371 and 1375 = LCM of 1375 and 1371

Related Least Common Multiples of 1371

Related Least Common Multiples of 1375

Frequently Asked Questions on LCM of 1371 and 1375

1. What is the LCM of 1371 and 1375?

Answer: LCM of 1371 and 1375 is 1885125.

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 1375?

Answer: Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375. There are 8 integers that are factors of 1375. The greatest factor of 1375 is 1375.

4. How to Find the LCM of 1371 and 1375?

Answer:

Least Common Multiple of 1371 and 1375 = 1885125

Step 1: Find the prime factorization of 1371

1371 = 3 x 457

Step 2: Find the prime factorization of 1375

1375 = 5 x 5 x 5 x 11

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

LCM = 1885125 = 3 x 5 x 5 x 5 x 11 x 457

Step 4: Therefore, the least common multiple of 1371 and 1375 is 1885125.