Least Common Multiple of 3918 and 3926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3918 and 3926 the smallest integer that is 7691034 that is divisible by both numbers.

Least Common Multiple (LCM) of 3918 and 3926 is 7691034.

LCM(3918,3926) = 7691034

LCM of 3918 and 3926

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

LCM of:
and

Least Common Multiple of 3918 and 3926

LCM of 3918 and 3926 is 7691034

Least common multiple can be found by multiplying the highest exponent prime factors of 3918 and 3926. First we will calculate the prime factors of 3918 and 3926.

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

Prime Factorization of 3926


2 3926
13 1963
151 151
1

Prime factors of 3926 are 2, 13,151. Prime factorization of 3926 in exponential form is:

3926 = 21×131×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3918 and 3926.

LCM(3918,3926) = 21×31×131×1511×6531
LCM(3918,3926) = 7691034

Factors of 3918

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

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

Factors of 3926

List of positive integer factors of 3926 that divides 3926 without a remainder.

1, 2, 13, 26, 151, 302, 1963, 3926

Least Common Multiple of 3918 and 3926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3918 and 3926, than apply into the LCM equation.

GCF(3918,3926) = 2
LCM(3918,3926) = ( 3918 × 3926) / 2
LCM(3918,3926) = 15382068 / 2
LCM(3918,3926) = 7691034

Properties of LCM 3918 and 3926

(i) The LCM of 3926 and 3918 is associative

LCM of 3918 and 3926 = LCM of 3926 and 3918

Related Least Common Multiples of 3918

Related Least Common Multiples of 3926

Frequently Asked Questions on LCM of 3918 and 3926

1. What is the LCM of 3918 and 3926?

Answer: LCM of 3918 and 3926 is 7691034.

2. 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.

3. What are the Factors of 3926?

Answer: Factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926. There are 8 integers that are factors of 3926. The greatest factor of 3926 is 3926.

4. How to Find the LCM of 3918 and 3926?

Answer:

Least Common Multiple of 3918 and 3926 = 7691034

Step 1: Find the prime factorization of 3918

3918 = 2 x 3 x 653

Step 2: Find the prime factorization of 3926

3926 = 2 x 13 x 151

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

LCM = 7691034 = 2 x 3 x 13 x 151 x 653

Step 4: Therefore, the least common multiple of 3918 and 3926 is 7691034.