Least Common Multiple of 1371 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 1371 and 1379 the smallest integer that is 1890609 that is divisible by both numbers.

Least Common Multiple (LCM) of 1371 and 1379 is 1890609.

LCM(1371,1379) = 1890609

LCM of 1371 and 1379

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

LCM of:
and

Least Common Multiple of 1371 and 1379

LCM of 1371 and 1379 is 1890609

Least common multiple can be found by multiplying the highest exponent prime factors of 1371 and 1379. First we will calculate the prime factors of 1371 and 1379.

Prime Factorization of 1371


3 1371
457 457
1

Prime factors of 1371 are 3,457. Prime factorization of 1371 in exponential form is:

1371 = 31×4571

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 1371 and 1379.

LCM(1371,1379) = 31×71×1971×4571
LCM(1371,1379) = 1890609

Factors of 1371

List of positive integer factors of 1371 that divides 1371 without a remainder.

1, 3, 457, 1371

Factors of 1379

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

1, 7, 197, 1379

Least Common Multiple of 1371 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 1371 and 1379, than apply into the LCM equation.

GCF(1371,1379) = 1
LCM(1371,1379) = ( 1371 × 1379) / 1
LCM(1371,1379) = 1890609 / 1
LCM(1371,1379) = 1890609

Properties of LCM 1371 and 1379

(i) The LCM of 1379 and 1371 is associative

LCM of 1371 and 1379 = LCM of 1379 and 1371

Related Least Common Multiples of 1371

Related Least Common Multiples of 1379

Frequently Asked Questions on LCM of 1371 and 1379

1. What is the LCM of 1371 and 1379?

Answer: LCM of 1371 and 1379 is 1890609.

2. What are the Factors of 1371?

Answer: Factors of 1371 are 1, 3, 457, 1371. There are 4 integers that are factors of 1371. The greatest factor of 1371 is 1371.

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 1371 and 1379?

Answer:

Least Common Multiple of 1371 and 1379 = 1890609

Step 1: Find the prime factorization of 1371

1371 = 3 x 457

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 = 1890609 = 3 x 7 x 197 x 457

Step 4: Therefore, the least common multiple of 1371 and 1379 is 1890609.