Least Common Multiple of 3867 and 3874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3867 and 3874 the smallest integer that is 14980758 that is divisible by both numbers.

Least Common Multiple (LCM) of 3867 and 3874 is 14980758.

LCM(3867,3874) = 14980758

LCM of 3867 and 3874

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

LCM of:
and

Least Common Multiple of 3867 and 3874

LCM of 3867 and 3874 is 14980758

Least common multiple can be found by multiplying the highest exponent prime factors of 3867 and 3874. First we will calculate the prime factors of 3867 and 3874.

Prime Factorization of 3867


3 3867
1289 1289
1

Prime factors of 3867 are 3,1289. Prime factorization of 3867 in exponential form is:

3867 = 31×12891

Prime Factorization of 3874


2 3874
13 1937
149 149
1

Prime factors of 3874 are 2, 13,149. Prime factorization of 3874 in exponential form is:

3874 = 21×131×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3867 and 3874.

LCM(3867,3874) = 21×31×131×1491×12891
LCM(3867,3874) = 14980758

Factors of 3867

List of positive integer factors of 3867 that divides 3867 without a remainder.

1, 3, 1289, 3867

Factors of 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1, 2, 13, 26, 149, 298, 1937, 3874

Least Common Multiple of 3867 and 3874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3867 and 3874, than apply into the LCM equation.

GCF(3867,3874) = 1
LCM(3867,3874) = ( 3867 × 3874) / 1
LCM(3867,3874) = 14980758 / 1
LCM(3867,3874) = 14980758

Properties of LCM 3867 and 3874

(i) The LCM of 3874 and 3867 is associative

LCM of 3867 and 3874 = LCM of 3874 and 3867

Related Least Common Multiples of 3867

Related Least Common Multiples of 3874

Frequently Asked Questions on LCM of 3867 and 3874

1. What is the LCM of 3867 and 3874?

Answer: LCM of 3867 and 3874 is 14980758.

2. What are the Factors of 3867?

Answer: Factors of 3867 are 1, 3, 1289, 3867. There are 4 integers that are factors of 3867. The greatest factor of 3867 is 3867.

3. What are the Factors of 3874?

Answer: Factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874. There are 8 integers that are factors of 3874. The greatest factor of 3874 is 3874.

4. How to Find the LCM of 3867 and 3874?

Answer:

Least Common Multiple of 3867 and 3874 = 14980758

Step 1: Find the prime factorization of 3867

3867 = 3 x 1289

Step 2: Find the prime factorization of 3874

3874 = 2 x 13 x 149

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

LCM = 14980758 = 2 x 3 x 13 x 149 x 1289

Step 4: Therefore, the least common multiple of 3867 and 3874 is 14980758.