Least Common Multiple of 1370 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 1370 and 1375 the smallest integer that is 376750 that is divisible by both numbers.

Least Common Multiple (LCM) of 1370 and 1375 is 376750.

LCM(1370,1375) = 376750

LCM of 1370 and 1375

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

LCM of:
and

Least Common Multiple of 1370 and 1375

LCM of 1370 and 1375 is 376750

Least common multiple can be found by multiplying the highest exponent prime factors of 1370 and 1375. First we will calculate the prime factors of 1370 and 1375.

Prime Factorization of 1370


2 1370
5 685
137 137
1

Prime factors of 1370 are 2, 5,137. Prime factorization of 1370 in exponential form is:

1370 = 21×51×1371

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 1370 and 1375.

LCM(1370,1375) = 21×53×111×1371
LCM(1370,1375) = 376750

Factors of 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1, 2, 5, 10, 137, 274, 685, 1370

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 1370 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 1370 and 1375, than apply into the LCM equation.

GCF(1370,1375) = 5
LCM(1370,1375) = ( 1370 × 1375) / 5
LCM(1370,1375) = 1883750 / 5
LCM(1370,1375) = 376750

Properties of LCM 1370 and 1375

(i) The LCM of 1375 and 1370 is associative

LCM of 1370 and 1375 = LCM of 1375 and 1370

Related Least Common Multiples of 1370

Related Least Common Multiples of 1375

Frequently Asked Questions on LCM of 1370 and 1375

1. What is the LCM of 1370 and 1375?

Answer: LCM of 1370 and 1375 is 376750.

2. What are the Factors of 1370?

Answer: Factors of 1370 are 1, 2, 5, 10, 137, 274, 685, 1370. There are 8 integers that are factors of 1370. The greatest factor of 1370 is 1370.

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 1370 and 1375?

Answer:

Least Common Multiple of 1370 and 1375 = 376750

Step 1: Find the prime factorization of 1370

1370 = 2 x 5 x 137

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 = 376750 = 2 x 5 x 5 x 5 x 11 x 137

Step 4: Therefore, the least common multiple of 1370 and 1375 is 376750.