Least Common Multiple of 3930 and 3935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3930 and 3935 the smallest integer that is 3092910 that is divisible by both numbers.

Least Common Multiple (LCM) of 3930 and 3935 is 3092910.

LCM(3930,3935) = 3092910

LCM of 3930 and 3935

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

LCM of:
and

Least Common Multiple of 3930 and 3935

LCM of 3930 and 3935 is 3092910

Least common multiple can be found by multiplying the highest exponent prime factors of 3930 and 3935. First we will calculate the prime factors of 3930 and 3935.

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

Prime Factorization of 3935


5 3935
787 787
1

Prime factors of 3935 are 5,787. Prime factorization of 3935 in exponential form is:

3935 = 51×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 3930 and 3935.

LCM(3930,3935) = 21×31×51×1311×7871
LCM(3930,3935) = 3092910

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

Factors of 3935

List of positive integer factors of 3935 that divides 3935 without a remainder.

1, 5, 787, 3935

Least Common Multiple of 3930 and 3935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3930 and 3935, than apply into the LCM equation.

GCF(3930,3935) = 5
LCM(3930,3935) = ( 3930 × 3935) / 5
LCM(3930,3935) = 15464550 / 5
LCM(3930,3935) = 3092910

Properties of LCM 3930 and 3935

(i) The LCM of 3935 and 3930 is associative

LCM of 3930 and 3935 = LCM of 3935 and 3930

Related Least Common Multiples of 3930

Related Least Common Multiples of 3935

Frequently Asked Questions on LCM of 3930 and 3935

1. What is the LCM of 3930 and 3935?

Answer: LCM of 3930 and 3935 is 3092910.

2. 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.

3. What are the Factors of 3935?

Answer: Factors of 3935 are 1, 5, 787, 3935. There are 4 integers that are factors of 3935. The greatest factor of 3935 is 3935.

4. How to Find the LCM of 3930 and 3935?

Answer:

Least Common Multiple of 3930 and 3935 = 3092910

Step 1: Find the prime factorization of 3930

3930 = 2 x 3 x 5 x 131

Step 2: Find the prime factorization of 3935

3935 = 5 x 787

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

LCM = 3092910 = 2 x 3 x 5 x 131 x 787

Step 4: Therefore, the least common multiple of 3930 and 3935 is 3092910.