Least Common Multiple of 1370 and 1377

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 1377 the smallest integer that is 1886490 that is divisible by both numbers.

Least Common Multiple (LCM) of 1370 and 1377 is 1886490.

LCM(1370,1377) = 1886490

LCM of 1370 and 1377

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

LCM of:
and

Least Common Multiple of 1370 and 1377

LCM of 1370 and 1377 is 1886490

Least common multiple can be found by multiplying the highest exponent prime factors of 1370 and 1377. First we will calculate the prime factors of 1370 and 1377.

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 1377


3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 1377 are 3,17. Prime factorization of 1377 in exponential form is:

1377 = 34×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1370 and 1377.

LCM(1370,1377) = 21×34×51×171×1371
LCM(1370,1377) = 1886490

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 1377

List of positive integer factors of 1377 that divides 1377 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 459, 1377

Least Common Multiple of 1370 and 1377 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 1377, than apply into the LCM equation.

GCF(1370,1377) = 1
LCM(1370,1377) = ( 1370 × 1377) / 1
LCM(1370,1377) = 1886490 / 1
LCM(1370,1377) = 1886490

Properties of LCM 1370 and 1377

(i) The LCM of 1377 and 1370 is associative

LCM of 1370 and 1377 = LCM of 1377 and 1370

Related Least Common Multiples of 1370

Related Least Common Multiples of 1377

Frequently Asked Questions on LCM of 1370 and 1377

1. What is the LCM of 1370 and 1377?

Answer: LCM of 1370 and 1377 is 1886490.

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 1377?

Answer: Factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377. There are 10 integers that are factors of 1377. The greatest factor of 1377 is 1377.

4. How to Find the LCM of 1370 and 1377?

Answer:

Least Common Multiple of 1370 and 1377 = 1886490

Step 1: Find the prime factorization of 1370

1370 = 2 x 5 x 137

Step 2: Find the prime factorization of 1377

1377 = 3 x 3 x 3 x 3 x 17

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

LCM = 1886490 = 2 x 3 x 3 x 3 x 3 x 5 x 17 x 137

Step 4: Therefore, the least common multiple of 1370 and 1377 is 1886490.