Least Common Multiple of 1397 and 1401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1397 and 1401 the smallest integer that is 1957197 that is divisible by both numbers.

Least Common Multiple (LCM) of 1397 and 1401 is 1957197.

LCM(1397,1401) = 1957197

LCM of 1397 and 1401

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

LCM of:
and

Least Common Multiple of 1397 and 1401

LCM of 1397 and 1401 is 1957197

Least common multiple can be found by multiplying the highest exponent prime factors of 1397 and 1401. First we will calculate the prime factors of 1397 and 1401.

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

Prime Factorization of 1401


3 1401
467 467
1

Prime factors of 1401 are 3,467. Prime factorization of 1401 in exponential form is:

1401 = 31×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 1397 and 1401.

LCM(1397,1401) = 31×111×1271×4671
LCM(1397,1401) = 1957197

Factors of 1397

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

1, 11, 127, 1397

Factors of 1401

List of positive integer factors of 1401 that divides 1401 without a remainder.

1, 3, 467, 1401

Least Common Multiple of 1397 and 1401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1397 and 1401, than apply into the LCM equation.

GCF(1397,1401) = 1
LCM(1397,1401) = ( 1397 × 1401) / 1
LCM(1397,1401) = 1957197 / 1
LCM(1397,1401) = 1957197

Properties of LCM 1397 and 1401

(i) The LCM of 1401 and 1397 is associative

LCM of 1397 and 1401 = LCM of 1401 and 1397

Related Least Common Multiples of 1397

Related Least Common Multiples of 1401

Frequently Asked Questions on LCM of 1397 and 1401

1. What is the LCM of 1397 and 1401?

Answer: LCM of 1397 and 1401 is 1957197.

2. 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.

3. What are the Factors of 1401?

Answer: Factors of 1401 are 1, 3, 467, 1401. There are 4 integers that are factors of 1401. The greatest factor of 1401 is 1401.

4. How to Find the LCM of 1397 and 1401?

Answer:

Least Common Multiple of 1397 and 1401 = 1957197

Step 1: Find the prime factorization of 1397

1397 = 11 x 127

Step 2: Find the prime factorization of 1401

1401 = 3 x 467

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

LCM = 1957197 = 3 x 11 x 127 x 467

Step 4: Therefore, the least common multiple of 1397 and 1401 is 1957197.