Least Common Multiple of 1396 and 1402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1396 and 1402 the smallest integer that is 978596 that is divisible by both numbers.

Least Common Multiple (LCM) of 1396 and 1402 is 978596.

LCM(1396,1402) = 978596

LCM of 1396 and 1402

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

LCM of:
and

Least Common Multiple of 1396 and 1402

LCM of 1396 and 1402 is 978596

Least common multiple can be found by multiplying the highest exponent prime factors of 1396 and 1402. First we will calculate the prime factors of 1396 and 1402.

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

Prime Factorization of 1402


2 1402
701 701
1

Prime factors of 1402 are 2,701. Prime factorization of 1402 in exponential form is:

1402 = 21×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 1396 and 1402.

LCM(1396,1402) = 22×3491×7011
LCM(1396,1402) = 978596

Factors of 1396

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

1, 2, 4, 349, 698, 1396

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1, 2, 701, 1402

Least Common Multiple of 1396 and 1402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1396 and 1402, than apply into the LCM equation.

GCF(1396,1402) = 2
LCM(1396,1402) = ( 1396 × 1402) / 2
LCM(1396,1402) = 1957192 / 2
LCM(1396,1402) = 978596

Properties of LCM 1396 and 1402

(i) The LCM of 1402 and 1396 is associative

LCM of 1396 and 1402 = LCM of 1402 and 1396

Related Least Common Multiples of 1396

Related Least Common Multiples of 1402

Frequently Asked Questions on LCM of 1396 and 1402

1. What is the LCM of 1396 and 1402?

Answer: LCM of 1396 and 1402 is 978596.

2. 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.

3. What are the Factors of 1402?

Answer: Factors of 1402 are 1, 2, 701, 1402. There are 4 integers that are factors of 1402. The greatest factor of 1402 is 1402.

4. How to Find the LCM of 1396 and 1402?

Answer:

Least Common Multiple of 1396 and 1402 = 978596

Step 1: Find the prime factorization of 1396

1396 = 2 x 2 x 349

Step 2: Find the prime factorization of 1402

1402 = 2 x 701

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

LCM = 978596 = 2 x 2 x 349 x 701

Step 4: Therefore, the least common multiple of 1396 and 1402 is 978596.