Least Common Multiple of 3884 and 3891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3884 and 3891 the smallest integer that is 15112644 that is divisible by both numbers.

Least Common Multiple (LCM) of 3884 and 3891 is 15112644.

LCM(3884,3891) = 15112644

LCM of 3884 and 3891

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

LCM of:
and

Least Common Multiple of 3884 and 3891

LCM of 3884 and 3891 is 15112644

Least common multiple can be found by multiplying the highest exponent prime factors of 3884 and 3891. First we will calculate the prime factors of 3884 and 3891.

Prime Factorization of 3884


2 3884
2 1942
971 971
1

Prime factors of 3884 are 2,971. Prime factorization of 3884 in exponential form is:

3884 = 22×9711

Prime Factorization of 3891


3 3891
1297 1297
1

Prime factors of 3891 are 3,1297. Prime factorization of 3891 in exponential form is:

3891 = 31×12971

Now multiplying the highest exponent prime factors to calculate the LCM of 3884 and 3891.

LCM(3884,3891) = 22×31×9711×12971
LCM(3884,3891) = 15112644

Factors of 3884

List of positive integer factors of 3884 that divides 3884 without a remainder.

1, 2, 4, 971, 1942, 3884

Factors of 3891

List of positive integer factors of 3891 that divides 3891 without a remainder.

1, 3, 1297, 3891

Least Common Multiple of 3884 and 3891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3884 and 3891, than apply into the LCM equation.

GCF(3884,3891) = 1
LCM(3884,3891) = ( 3884 × 3891) / 1
LCM(3884,3891) = 15112644 / 1
LCM(3884,3891) = 15112644

Properties of LCM 3884 and 3891

(i) The LCM of 3891 and 3884 is associative

LCM of 3884 and 3891 = LCM of 3891 and 3884

Related Least Common Multiples of 3884

Related Least Common Multiples of 3891

Frequently Asked Questions on LCM of 3884 and 3891

1. What is the LCM of 3884 and 3891?

Answer: LCM of 3884 and 3891 is 15112644.

2. What are the Factors of 3884?

Answer: Factors of 3884 are 1, 2, 4, 971, 1942, 3884. There are 6 integers that are factors of 3884. The greatest factor of 3884 is 3884.

3. What are the Factors of 3891?

Answer: Factors of 3891 are 1, 3, 1297, 3891. There are 4 integers that are factors of 3891. The greatest factor of 3891 is 3891.

4. How to Find the LCM of 3884 and 3891?

Answer:

Least Common Multiple of 3884 and 3891 = 15112644

Step 1: Find the prime factorization of 3884

3884 = 2 x 2 x 971

Step 2: Find the prime factorization of 3891

3891 = 3 x 1297

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

LCM = 15112644 = 2 x 2 x 3 x 971 x 1297

Step 4: Therefore, the least common multiple of 3884 and 3891 is 15112644.