Least Common Multiple of 1372 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 1372 and 1379 the smallest integer that is 270284 that is divisible by both numbers.

Least Common Multiple (LCM) of 1372 and 1379 is 270284.

LCM(1372,1379) = 270284

LCM of 1372 and 1379

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

LCM of:
and

Least Common Multiple of 1372 and 1379

LCM of 1372 and 1379 is 270284

Least common multiple can be found by multiplying the highest exponent prime factors of 1372 and 1379. First we will calculate the prime factors of 1372 and 1379.

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 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 1372 and 1379.

LCM(1372,1379) = 22×73×1971
LCM(1372,1379) = 270284

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 1379

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

1, 7, 197, 1379

Least Common Multiple of 1372 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 1372 and 1379, than apply into the LCM equation.

GCF(1372,1379) = 7
LCM(1372,1379) = ( 1372 × 1379) / 7
LCM(1372,1379) = 1891988 / 7
LCM(1372,1379) = 270284

Properties of LCM 1372 and 1379

(i) The LCM of 1379 and 1372 is associative

LCM of 1372 and 1379 = LCM of 1379 and 1372

Related Least Common Multiples of 1372

Related Least Common Multiples of 1379

Frequently Asked Questions on LCM of 1372 and 1379

1. What is the LCM of 1372 and 1379?

Answer: LCM of 1372 and 1379 is 270284.

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 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 1372 and 1379?

Answer:

Least Common Multiple of 1372 and 1379 = 270284

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 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 = 270284 = 2 x 2 x 7 x 7 x 7 x 197

Step 4: Therefore, the least common multiple of 1372 and 1379 is 270284.