Least Common Multiple of 1375 and 1376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1375 and 1376 the smallest integer that is 1892000 that is divisible by both numbers.

Least Common Multiple (LCM) of 1375 and 1376 is 1892000.

LCM(1375,1376) = 1892000

LCM of 1375 and 1376

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

LCM of:
and

Least Common Multiple of 1375 and 1376

LCM of 1375 and 1376 is 1892000

Least common multiple can be found by multiplying the highest exponent prime factors of 1375 and 1376. First we will calculate the prime factors of 1375 and 1376.

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

Prime Factorization of 1376


2 1376
2 688
2 344
2 172
2 86
43 43
1

Prime factors of 1376 are 2,43. Prime factorization of 1376 in exponential form is:

1376 = 25×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1375 and 1376.

LCM(1375,1376) = 25×53×111×431
LCM(1375,1376) = 1892000

Factors of 1375

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

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

Factors of 1376

List of positive integer factors of 1376 that divides 1376 without a remainder.

1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376

Least Common Multiple of 1375 and 1376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1375 and 1376, than apply into the LCM equation.

GCF(1375,1376) = 1
LCM(1375,1376) = ( 1375 × 1376) / 1
LCM(1375,1376) = 1892000 / 1
LCM(1375,1376) = 1892000

Properties of LCM 1375 and 1376

(i) The LCM of 1376 and 1375 is associative

LCM of 1375 and 1376 = LCM of 1376 and 1375

Related Least Common Multiples of 1375

Related Least Common Multiples of 1376

Frequently Asked Questions on LCM of 1375 and 1376

1. What is the LCM of 1375 and 1376?

Answer: LCM of 1375 and 1376 is 1892000.

2. 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.

3. What are the Factors of 1376?

Answer: Factors of 1376 are 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376. There are 12 integers that are factors of 1376. The greatest factor of 1376 is 1376.

4. How to Find the LCM of 1375 and 1376?

Answer:

Least Common Multiple of 1375 and 1376 = 1892000

Step 1: Find the prime factorization of 1375

1375 = 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 1376

1376 = 2 x 2 x 2 x 2 x 2 x 43

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

LCM = 1892000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 11 x 43

Step 4: Therefore, the least common multiple of 1375 and 1376 is 1892000.