Least Common Multiple of 3908 and 3914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3908 and 3914 the smallest integer that is 7647956 that is divisible by both numbers.

Least Common Multiple (LCM) of 3908 and 3914 is 7647956.

LCM(3908,3914) = 7647956

LCM of 3908 and 3914

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

LCM of:
and

Least Common Multiple of 3908 and 3914

LCM of 3908 and 3914 is 7647956

Least common multiple can be found by multiplying the highest exponent prime factors of 3908 and 3914. First we will calculate the prime factors of 3908 and 3914.

Prime Factorization of 3908


2 3908
2 1954
977 977
1

Prime factors of 3908 are 2,977. Prime factorization of 3908 in exponential form is:

3908 = 22×9771

Prime Factorization of 3914


2 3914
19 1957
103 103
1

Prime factors of 3914 are 2, 19,103. Prime factorization of 3914 in exponential form is:

3914 = 21×191×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3908 and 3914.

LCM(3908,3914) = 22×191×1031×9771
LCM(3908,3914) = 7647956

Factors of 3908

List of positive integer factors of 3908 that divides 3908 without a remainder.

1, 2, 4, 977, 1954, 3908

Factors of 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1, 2, 19, 38, 103, 206, 1957, 3914

Least Common Multiple of 3908 and 3914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3908 and 3914, than apply into the LCM equation.

GCF(3908,3914) = 2
LCM(3908,3914) = ( 3908 × 3914) / 2
LCM(3908,3914) = 15295912 / 2
LCM(3908,3914) = 7647956

Properties of LCM 3908 and 3914

(i) The LCM of 3914 and 3908 is associative

LCM of 3908 and 3914 = LCM of 3914 and 3908

Related Least Common Multiples of 3908

Related Least Common Multiples of 3914

Frequently Asked Questions on LCM of 3908 and 3914

1. What is the LCM of 3908 and 3914?

Answer: LCM of 3908 and 3914 is 7647956.

2. What are the Factors of 3908?

Answer: Factors of 3908 are 1, 2, 4, 977, 1954, 3908. There are 6 integers that are factors of 3908. The greatest factor of 3908 is 3908.

3. What are the Factors of 3914?

Answer: Factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914. There are 8 integers that are factors of 3914. The greatest factor of 3914 is 3914.

4. How to Find the LCM of 3908 and 3914?

Answer:

Least Common Multiple of 3908 and 3914 = 7647956

Step 1: Find the prime factorization of 3908

3908 = 2 x 2 x 977

Step 2: Find the prime factorization of 3914

3914 = 2 x 19 x 103

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

LCM = 7647956 = 2 x 2 x 19 x 103 x 977

Step 4: Therefore, the least common multiple of 3908 and 3914 is 7647956.