Least Common Multiple of 1364 and 1372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1364 and 1372 the smallest integer that is 467852 that is divisible by both numbers.

Least Common Multiple (LCM) of 1364 and 1372 is 467852.

LCM(1364,1372) = 467852

LCM of 1364 and 1372

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

LCM of:
and

Least Common Multiple of 1364 and 1372

LCM of 1364 and 1372 is 467852

Least common multiple can be found by multiplying the highest exponent prime factors of 1364 and 1372. First we will calculate the prime factors of 1364 and 1372.

Prime Factorization of 1364


2 1364
2 682
11 341
31 31
1

Prime factors of 1364 are 2, 11,31. Prime factorization of 1364 in exponential form is:

1364 = 22×111×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1364 and 1372.

LCM(1364,1372) = 22×73×111×311
LCM(1364,1372) = 467852

Factors of 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

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

Least Common Multiple of 1364 and 1372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1364 and 1372, than apply into the LCM equation.

GCF(1364,1372) = 4
LCM(1364,1372) = ( 1364 × 1372) / 4
LCM(1364,1372) = 1871408 / 4
LCM(1364,1372) = 467852

Properties of LCM 1364 and 1372

(i) The LCM of 1372 and 1364 is associative

LCM of 1364 and 1372 = LCM of 1372 and 1364

Related Least Common Multiples of 1364

Related Least Common Multiples of 1372

Frequently Asked Questions on LCM of 1364 and 1372

1. What is the LCM of 1364 and 1372?

Answer: LCM of 1364 and 1372 is 467852.

2. What are the Factors of 1364?

Answer: Factors of 1364 are 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364. There are 12 integers that are factors of 1364. The greatest factor of 1364 is 1364.

3. 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.

4. How to Find the LCM of 1364 and 1372?

Answer:

Least Common Multiple of 1364 and 1372 = 467852

Step 1: Find the prime factorization of 1364

1364 = 2 x 2 x 11 x 31

Step 2: Find the prime factorization of 1372

1372 = 2 x 2 x 7 x 7 x 7

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

LCM = 467852 = 2 x 2 x 7 x 7 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 1364 and 1372 is 467852.