Least Common Multiple of 3926 and 3930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3926 and 3930 the smallest integer that is 7714590 that is divisible by both numbers.

Least Common Multiple (LCM) of 3926 and 3930 is 7714590.

LCM(3926,3930) = 7714590

LCM of 3926 and 3930

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

LCM of:
and

Least Common Multiple of 3926 and 3930

LCM of 3926 and 3930 is 7714590

Least common multiple can be found by multiplying the highest exponent prime factors of 3926 and 3930. First we will calculate the prime factors of 3926 and 3930.

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

Prime Factorization of 3930


2 3930
3 1965
5 655
131 131
1

Prime factors of 3930 are 2, 3, 5,131. Prime factorization of 3930 in exponential form is:

3930 = 21×31×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3926 and 3930.

LCM(3926,3930) = 21×31×51×131×1311×1511
LCM(3926,3930) = 7714590

Factors of 3926

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

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

Factors of 3930

List of positive integer factors of 3930 that divides 3930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930

Least Common Multiple of 3926 and 3930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3926 and 3930, than apply into the LCM equation.

GCF(3926,3930) = 2
LCM(3926,3930) = ( 3926 × 3930) / 2
LCM(3926,3930) = 15429180 / 2
LCM(3926,3930) = 7714590

Properties of LCM 3926 and 3930

(i) The LCM of 3930 and 3926 is associative

LCM of 3926 and 3930 = LCM of 3930 and 3926

Related Least Common Multiples of 3926

Related Least Common Multiples of 3930

Frequently Asked Questions on LCM of 3926 and 3930

1. What is the LCM of 3926 and 3930?

Answer: LCM of 3926 and 3930 is 7714590.

2. 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.

3. What are the Factors of 3930?

Answer: Factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930. There are 16 integers that are factors of 3930. The greatest factor of 3930 is 3930.

4. How to Find the LCM of 3926 and 3930?

Answer:

Least Common Multiple of 3926 and 3930 = 7714590

Step 1: Find the prime factorization of 3926

3926 = 2 x 13 x 151

Step 2: Find the prime factorization of 3930

3930 = 2 x 3 x 5 x 131

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

LCM = 7714590 = 2 x 3 x 5 x 13 x 131 x 151

Step 4: Therefore, the least common multiple of 3926 and 3930 is 7714590.