Least Common Multiple of 1375 and 1379

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 1379 the smallest integer that is 1896125 that is divisible by both numbers.

Least Common Multiple (LCM) of 1375 and 1379 is 1896125.

LCM(1375,1379) = 1896125

LCM of 1375 and 1379

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

LCM of:
and

Least Common Multiple of 1375 and 1379

LCM of 1375 and 1379 is 1896125

Least common multiple can be found by multiplying the highest exponent prime factors of 1375 and 1379. First we will calculate the prime factors of 1375 and 1379.

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 1379


7 1379
197 197
1

Prime factors of 1379 are 7,197. Prime factorization of 1379 in exponential form is:

1379 = 71×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 1375 and 1379.

LCM(1375,1379) = 53×71×111×1971
LCM(1375,1379) = 1896125

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 1379

List of positive integer factors of 1379 that divides 1379 without a remainder.

1, 7, 197, 1379

Least Common Multiple of 1375 and 1379 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 1379, than apply into the LCM equation.

GCF(1375,1379) = 1
LCM(1375,1379) = ( 1375 × 1379) / 1
LCM(1375,1379) = 1896125 / 1
LCM(1375,1379) = 1896125

Properties of LCM 1375 and 1379

(i) The LCM of 1379 and 1375 is associative

LCM of 1375 and 1379 = LCM of 1379 and 1375

Related Least Common Multiples of 1375

Related Least Common Multiples of 1379

Frequently Asked Questions on LCM of 1375 and 1379

1. What is the LCM of 1375 and 1379?

Answer: LCM of 1375 and 1379 is 1896125.

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 1379?

Answer: Factors of 1379 are 1, 7, 197, 1379. There are 4 integers that are factors of 1379. The greatest factor of 1379 is 1379.

4. How to Find the LCM of 1375 and 1379?

Answer:

Least Common Multiple of 1375 and 1379 = 1896125

Step 1: Find the prime factorization of 1375

1375 = 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 1379

1379 = 7 x 197

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

LCM = 1896125 = 5 x 5 x 5 x 7 x 11 x 197

Step 4: Therefore, the least common multiple of 1375 and 1379 is 1896125.