Least Common Multiple of 1392 and 1397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1392 and 1397 the smallest integer that is 1944624 that is divisible by both numbers.

Least Common Multiple (LCM) of 1392 and 1397 is 1944624.

LCM(1392,1397) = 1944624

LCM of 1392 and 1397

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

LCM of:
and

Least Common Multiple of 1392 and 1397

LCM of 1392 and 1397 is 1944624

Least common multiple can be found by multiplying the highest exponent prime factors of 1392 and 1397. First we will calculate the prime factors of 1392 and 1397.

Prime Factorization of 1392


2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 1392 are 2, 3,29. Prime factorization of 1392 in exponential form is:

1392 = 24×31×291

Prime Factorization of 1397


11 1397
127 127
1

Prime factors of 1397 are 11,127. Prime factorization of 1397 in exponential form is:

1397 = 111×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1392 and 1397.

LCM(1392,1397) = 24×31×111×291×1271
LCM(1392,1397) = 1944624

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392

Factors of 1397

List of positive integer factors of 1397 that divides 1397 without a remainder.

1, 11, 127, 1397

Least Common Multiple of 1392 and 1397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1392 and 1397, than apply into the LCM equation.

GCF(1392,1397) = 1
LCM(1392,1397) = ( 1392 × 1397) / 1
LCM(1392,1397) = 1944624 / 1
LCM(1392,1397) = 1944624

Properties of LCM 1392 and 1397

(i) The LCM of 1397 and 1392 is associative

LCM of 1392 and 1397 = LCM of 1397 and 1392

Related Least Common Multiples of 1392

Related Least Common Multiples of 1397

Frequently Asked Questions on LCM of 1392 and 1397

1. What is the LCM of 1392 and 1397?

Answer: LCM of 1392 and 1397 is 1944624.

2. What are the Factors of 1392?

Answer: Factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392. There are 20 integers that are factors of 1392. The greatest factor of 1392 is 1392.

3. What are the Factors of 1397?

Answer: Factors of 1397 are 1, 11, 127, 1397. There are 4 integers that are factors of 1397. The greatest factor of 1397 is 1397.

4. How to Find the LCM of 1392 and 1397?

Answer:

Least Common Multiple of 1392 and 1397 = 1944624

Step 1: Find the prime factorization of 1392

1392 = 2 x 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 1397

1397 = 11 x 127

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

LCM = 1944624 = 2 x 2 x 2 x 2 x 3 x 11 x 29 x 127

Step 4: Therefore, the least common multiple of 1392 and 1397 is 1944624.