Least Common Multiple of 1372 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 1372 and 1377 the smallest integer that is 1889244 that is divisible by both numbers.

Least Common Multiple (LCM) of 1372 and 1377 is 1889244.

LCM(1372,1377) = 1889244

LCM of 1372 and 1377

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

LCM of:
and

Least Common Multiple of 1372 and 1377

LCM of 1372 and 1377 is 1889244

Least common multiple can be found by multiplying the highest exponent prime factors of 1372 and 1377. First we will calculate the prime factors of 1372 and 1377.

Prime Factorization of 1372


2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 1372 are 2,7. Prime factorization of 1372 in exponential form is:

1372 = 22×73

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 1372 and 1377.

LCM(1372,1377) = 22×34×73×171
LCM(1372,1377) = 1889244

Factors of 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372

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 1372 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 1372 and 1377, than apply into the LCM equation.

GCF(1372,1377) = 1
LCM(1372,1377) = ( 1372 × 1377) / 1
LCM(1372,1377) = 1889244 / 1
LCM(1372,1377) = 1889244

Properties of LCM 1372 and 1377

(i) The LCM of 1377 and 1372 is associative

LCM of 1372 and 1377 = LCM of 1377 and 1372

Related Least Common Multiples of 1372

Related Least Common Multiples of 1377

Frequently Asked Questions on LCM of 1372 and 1377

1. What is the LCM of 1372 and 1377?

Answer: LCM of 1372 and 1377 is 1889244.

2. What are the Factors of 1372?

Answer: Factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372. There are 12 integers that are factors of 1372. The greatest factor of 1372 is 1372.

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 1372 and 1377?

Answer:

Least Common Multiple of 1372 and 1377 = 1889244

Step 1: Find the prime factorization of 1372

1372 = 2 x 2 x 7 x 7 x 7

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 = 1889244 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 7 x 7 x 17

Step 4: Therefore, the least common multiple of 1372 and 1377 is 1889244.