Least Common Multiple of 3892 and 3897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3892 and 3897 the smallest integer that is 15167124 that is divisible by both numbers.

Least Common Multiple (LCM) of 3892 and 3897 is 15167124.

LCM(3892,3897) = 15167124

LCM of 3892 and 3897

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

LCM of:
and

Least Common Multiple of 3892 and 3897

LCM of 3892 and 3897 is 15167124

Least common multiple can be found by multiplying the highest exponent prime factors of 3892 and 3897. First we will calculate the prime factors of 3892 and 3897.

Prime Factorization of 3892


2 3892
2 1946
7 973
139 139
1

Prime factors of 3892 are 2, 7,139. Prime factorization of 3892 in exponential form is:

3892 = 22×71×1391

Prime Factorization of 3897


3 3897
3 1299
433 433
1

Prime factors of 3897 are 3,433. Prime factorization of 3897 in exponential form is:

3897 = 32×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 3892 and 3897.

LCM(3892,3897) = 22×32×71×1391×4331
LCM(3892,3897) = 15167124

Factors of 3892

List of positive integer factors of 3892 that divides 3892 without a remainder.

1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892

Factors of 3897

List of positive integer factors of 3897 that divides 3897 without a remainder.

1, 3, 9, 433, 1299, 3897

Least Common Multiple of 3892 and 3897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3892 and 3897, than apply into the LCM equation.

GCF(3892,3897) = 1
LCM(3892,3897) = ( 3892 × 3897) / 1
LCM(3892,3897) = 15167124 / 1
LCM(3892,3897) = 15167124

Properties of LCM 3892 and 3897

(i) The LCM of 3897 and 3892 is associative

LCM of 3892 and 3897 = LCM of 3897 and 3892

Related Least Common Multiples of 3892

Related Least Common Multiples of 3897

Frequently Asked Questions on LCM of 3892 and 3897

1. What is the LCM of 3892 and 3897?

Answer: LCM of 3892 and 3897 is 15167124.

2. What are the Factors of 3892?

Answer: Factors of 3892 are 1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892. There are 12 integers that are factors of 3892. The greatest factor of 3892 is 3892.

3. What are the Factors of 3897?

Answer: Factors of 3897 are 1, 3, 9, 433, 1299, 3897. There are 6 integers that are factors of 3897. The greatest factor of 3897 is 3897.

4. How to Find the LCM of 3892 and 3897?

Answer:

Least Common Multiple of 3892 and 3897 = 15167124

Step 1: Find the prime factorization of 3892

3892 = 2 x 2 x 7 x 139

Step 2: Find the prime factorization of 3897

3897 = 3 x 3 x 433

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

LCM = 15167124 = 2 x 2 x 3 x 3 x 7 x 139 x 433

Step 4: Therefore, the least common multiple of 3892 and 3897 is 15167124.