Least Common Multiple of 3914 and 3918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3914 and 3918 the smallest integer that is 7667526 that is divisible by both numbers.

Least Common Multiple (LCM) of 3914 and 3918 is 7667526.

LCM(3914,3918) = 7667526

LCM of 3914 and 3918

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

LCM of:
and

Least Common Multiple of 3914 and 3918

LCM of 3914 and 3918 is 7667526

Least common multiple can be found by multiplying the highest exponent prime factors of 3914 and 3918. First we will calculate the prime factors of 3914 and 3918.

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

Prime Factorization of 3918


2 3918
3 1959
653 653
1

Prime factors of 3918 are 2, 3,653. Prime factorization of 3918 in exponential form is:

3918 = 21×31×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 3914 and 3918.

LCM(3914,3918) = 21×31×191×1031×6531
LCM(3914,3918) = 7667526

Factors of 3914

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

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

Factors of 3918

List of positive integer factors of 3918 that divides 3918 without a remainder.

1, 2, 3, 6, 653, 1306, 1959, 3918

Least Common Multiple of 3914 and 3918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3914 and 3918, than apply into the LCM equation.

GCF(3914,3918) = 2
LCM(3914,3918) = ( 3914 × 3918) / 2
LCM(3914,3918) = 15335052 / 2
LCM(3914,3918) = 7667526

Properties of LCM 3914 and 3918

(i) The LCM of 3918 and 3914 is associative

LCM of 3914 and 3918 = LCM of 3918 and 3914

Related Least Common Multiples of 3914

Related Least Common Multiples of 3918

Frequently Asked Questions on LCM of 3914 and 3918

1. What is the LCM of 3914 and 3918?

Answer: LCM of 3914 and 3918 is 7667526.

2. 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.

3. What are the Factors of 3918?

Answer: Factors of 3918 are 1, 2, 3, 6, 653, 1306, 1959, 3918. There are 8 integers that are factors of 3918. The greatest factor of 3918 is 3918.

4. How to Find the LCM of 3914 and 3918?

Answer:

Least Common Multiple of 3914 and 3918 = 7667526

Step 1: Find the prime factorization of 3914

3914 = 2 x 19 x 103

Step 2: Find the prime factorization of 3918

3918 = 2 x 3 x 653

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

LCM = 7667526 = 2 x 3 x 19 x 103 x 653

Step 4: Therefore, the least common multiple of 3914 and 3918 is 7667526.