Least Common Multiple of 1390 and 1396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1390 and 1396 the smallest integer that is 970220 that is divisible by both numbers.

Least Common Multiple (LCM) of 1390 and 1396 is 970220.

LCM(1390,1396) = 970220

LCM of 1390 and 1396

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

LCM of:
and

Least Common Multiple of 1390 and 1396

LCM of 1390 and 1396 is 970220

Least common multiple can be found by multiplying the highest exponent prime factors of 1390 and 1396. First we will calculate the prime factors of 1390 and 1396.

Prime Factorization of 1390


2 1390
5 695
139 139
1

Prime factors of 1390 are 2, 5,139. Prime factorization of 1390 in exponential form is:

1390 = 21×51×1391

Prime Factorization of 1396


2 1396
2 698
349 349
1

Prime factors of 1396 are 2,349. Prime factorization of 1396 in exponential form is:

1396 = 22×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 1390 and 1396.

LCM(1390,1396) = 22×51×1391×3491
LCM(1390,1396) = 970220

Factors of 1390

List of positive integer factors of 1390 that divides 1390 without a remainder.

1, 2, 5, 10, 139, 278, 695, 1390

Factors of 1396

List of positive integer factors of 1396 that divides 1396 without a remainder.

1, 2, 4, 349, 698, 1396

Least Common Multiple of 1390 and 1396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1390 and 1396, than apply into the LCM equation.

GCF(1390,1396) = 2
LCM(1390,1396) = ( 1390 × 1396) / 2
LCM(1390,1396) = 1940440 / 2
LCM(1390,1396) = 970220

Properties of LCM 1390 and 1396

(i) The LCM of 1396 and 1390 is associative

LCM of 1390 and 1396 = LCM of 1396 and 1390

Related Least Common Multiples of 1390

Related Least Common Multiples of 1396

Frequently Asked Questions on LCM of 1390 and 1396

1. What is the LCM of 1390 and 1396?

Answer: LCM of 1390 and 1396 is 970220.

2. What are the Factors of 1390?

Answer: Factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390. There are 8 integers that are factors of 1390. The greatest factor of 1390 is 1390.

3. What are the Factors of 1396?

Answer: Factors of 1396 are 1, 2, 4, 349, 698, 1396. There are 6 integers that are factors of 1396. The greatest factor of 1396 is 1396.

4. How to Find the LCM of 1390 and 1396?

Answer:

Least Common Multiple of 1390 and 1396 = 970220

Step 1: Find the prime factorization of 1390

1390 = 2 x 5 x 139

Step 2: Find the prime factorization of 1396

1396 = 2 x 2 x 349

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

LCM = 970220 = 2 x 2 x 5 x 139 x 349

Step 4: Therefore, the least common multiple of 1390 and 1396 is 970220.